10557857426688 has 1080 divisors, whose sum is σ = 39378626534016. Its totient is φ = 2779353907200.

The previous prime is 10557857426687. The next prime is 10557857426707. The reversal of 10557857426688 is 88662475875501.

10557857426688 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 78 + 57 + 426 + 6 + 88 = 666.

It is a super-2 number, since 2×10557857426688² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557857426687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 655311753 + ... + 655327863.

Almost surely, 2^{10557857426688} is an apocalyptic number.

10557857426688 is a gapful number since it is divisible by the number (18) 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 10557857426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19689313267008).

10557857426688 is an abundant number, since it is smaller than the sum of its proper divisors (28820769107328).

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

10557857426688 is a wasteful number, since it uses less digits than its factorization.

10557857426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16193 (or 16157 counting only the distinct ones).

The product of its (nonzero) digits is 903168000, while the sum is 72.

The spelling of 10557857426688 in words is "ten trillion, five hundred fifty-seven billion, eight hundred fifty-seven million, four hundred twenty-six thousand, six hundred eighty-eight".