10657115382656 has 64 divisors (see below), whose sum is σ = 21374844192000. Its totient is φ = 5292534159360.

The previous prime is 10657115382619. The next prime is 10657115382769. The reversal of 10657115382656 is 65628351175601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10657115382656² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15630770 + ... + 16298318.

It is an arithmetic number, because the mean of its divisors is an integer number (333981940500).

Almost surely, 2^{10657115382656} is an apocalyptic number.

10657115382656 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 10657115382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10687422096000).

10657115382656 is an abundant number, since it is smaller than the sum of its proper divisors (10717728809344).

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

10657115382656 is an equidigital number, since it uses as much as digits as its factorization.

10657115382656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668407 (or 668395 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 56.

The spelling of 10657115382656 in words is "ten trillion, six hundred fifty-seven billion, one hundred fifteen million, three hundred eighty-two thousand, six hundred fifty-six".