10536727263840 has 480 divisors, whose sum is σ = 37379818121184. Its totient is φ = 2795179622400.

The previous prime is 10536727263773. The next prime is 10536727263851. The reversal of 10536727263840 is 4836272763501.

It is a happy number.

10536727263840 is a `hidden beast` number, since 1 + 0 + 5 + 367 + 272 + 6 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10536727263840² (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 79 ways as a sum of consecutive naturals, for example, 2063190567 + ... + 2063195673.

Almost surely, 2^{10536727263840} is an apocalyptic number.

10536727263840 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 10536727263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18689909060592).

10536727263840 is an abundant number, since it is smaller than the sum of its proper divisors (26843090857344).

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

10536727263840 is a wasteful number, since it uses less digits than its factorization.

10536727263840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 10536727263840 in words is "ten trillion, five hundred thirty-six billion, seven hundred twenty-seven million, two hundred sixty-three thousand, eight hundred forty".