10536302723232 has 576 divisors, whose sum is σ = 33171272741376. Its totient is φ = 2902379950080.

The previous prime is 10536302723231. The next prime is 10536302723257. The reversal of 10536302723232 is 23232720363501.

It is a super-2 number, since 2×10536302723232² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10536302723231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5525066023 + ... + 5525067929.

It is an arithmetic number, because the mean of its divisors is an integer number (57589015176).

Almost surely, 2^{10536302723232} is an apocalyptic number.

10536302723232 is a gapful number since it is divisible by the number (12) 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 10536302723232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16585636370688).

10536302723232 is an abundant number, since it is smaller than the sum of its proper divisors (22634970018144).

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

10536302723232 is a wasteful number, since it uses less digits than its factorization.

10536302723232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 39.

The spelling of 10536302723232 in words is "ten trillion, five hundred thirty-six billion, three hundred two million, seven hundred twenty-three thousand, two hundred thirty-two".