10115664656400 has 360 divisors, whose sum is σ = 36721902612096. Its totient is φ = 2573784576000.

The previous prime is 10115664656399. The next prime is 10115664656407. The reversal of 10115664656400 is 465646651101.

10115664656400 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 566 + 46 + 5 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10115664656407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33050469 + ... + 33355131.

Almost surely, 2^{10115664656400} is an apocalyptic number.

10115664656400 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 10115664656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360951306048).

10115664656400 is an abundant number, since it is smaller than the sum of its proper divisors (26606237955696).

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

10115664656400 is a wasteful number, since it uses less digits than its factorization.

10115664656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305111 (or 305097 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10115664656400 in words is "ten trillion, one hundred fifteen billion, six hundred sixty-four million, six hundred fifty-six thousand, four hundred".