10536928664400 has 720 divisors, whose sum is σ = 40475116926720. Its totient is φ = 2594538086400.

The previous prime is 10536928664389. The next prime is 10536928664411. The reversal of 10536928664400 is 446682963501.

10536928664400 is a `hidden beast` number, since 1 + 0 + 5 + 36 + 92 + 86 + 6 + 440 + 0 = 666.

10536928664400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10536928664389) and next prime (10536928664411).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10536928664400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 515722185 + ... + 515742615.

It is an arithmetic number, because the mean of its divisors is an integer number (56215440176).

Almost surely, 2^{10536928664400} is an apocalyptic number.

10536928664400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10536928664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20237558463360).

10536928664400 is an abundant number, since it is smaller than the sum of its proper divisors (29938188262320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10536928664400 is a wasteful number, since it uses less digits than its factorization.

10536928664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20581 (or 20511 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 10536928664400 in words is "ten trillion, five hundred thirty-six billion, nine hundred twenty-eight million, six hundred sixty-four thousand, four hundred".