10557787090656 has 192 divisors, whose sum is σ = 30343288905216. Its totient is φ = 3194456832000.

The previous prime is 10557787090619. The next prime is 10557787090691. The reversal of 10557787090656 is 65609078775501.

It is a happy number.

It is a super-2 number, since 2×10557787090656² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329389831 + ... + 329421881.

It is an arithmetic number, because the mean of its divisors is an integer number (158037963048).

Almost surely, 2^{10557787090656} is an apocalyptic number.

10557787090656 is a gapful number since it is divisible by the number (16) 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 10557787090656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15171644452608).

10557787090656 is an abundant number, since it is smaller than the sum of its proper divisors (19785501814560).

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

10557787090656 is a wasteful number, since it uses less digits than its factorization.

10557787090656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36465 (or 36457 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 66.

The spelling of 10557787090656 in words is "ten trillion, five hundred fifty-seven billion, seven hundred eighty-seven million, ninety thousand, six hundred fifty-six".