10536757920 has 432 divisors, whose sum is σ = 40304922840. Its totient is φ = 2502549504.

The previous prime is 10536757901. The next prime is 10536757937. The reversal of 10536757920 is 2975763501.

10536757920 is a `hidden beast` number, since 1 + 0 + 53 + 6 + 7 + 579 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 247495824 + 10289262096 = 15732^2 + 101436^2 .

It is a super-2 number, since 2×10536757920² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7056694 + ... + 7058186.

Almost surely, 2^10536757920 is an apocalyptic number.

10536757920 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 10536757920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20152461420).

10536757920 is an abundant number, since it is smaller than the sum of its proper divisors (29768164920).

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

10536757920 is a wasteful number, since it uses less digits than its factorization.

10536757920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 10536757920 in words is "ten billion, five hundred thirty-six million, seven hundred fifty-seven thousand, nine hundred twenty".