10557569084832 has 720 divisors, whose sum is σ = 40673566644480. Its totient is φ = 2653755955200.

The previous prime is 10557569084813. The next prime is 10557569084849. The reversal of 10557569084832 is 23848096575501.

10557569084832 is a `hidden beast` number, since 1 + 0 + 557 + 5 + 6 + 9 + 0 + 8 + 48 + 32 = 666.

It is a super-2 number, since 2×10557569084832² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 10557569084832.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43187844 + ... + 43431612.

It is an arithmetic number, because the mean of its divisors is an integer number (56491064784).

It is a 1-persistent number, because it is pandigital, but 2⋅10557569084832 = 21115138169664 is not.

Almost surely, 2^{10557569084832} is an apocalyptic number.

10557569084832 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 10557569084832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20336783322240).

10557569084832 is an abundant number, since it is smaller than the sum of its proper divisors (30115997559648).

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

10557569084832 is a wasteful number, since it uses less digits than its factorization.

10557569084832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243847 (or 243823 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 10557569084832 in words is "ten trillion, five hundred fifty-seven billion, five hundred sixty-nine million, eighty-four thousand, eight hundred thirty-two".