10116626160 has 160 divisors (see below), whose sum is σ = 32333287680. Its totient is φ = 2615445504.

The previous prime is 10116626147. The next prime is 10116626197. The reversal of 10116626160 is 6162661101.

It is a super-2 number, since 2×10116626160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1028787 + ... + 1038573.

It is an arithmetic number, because the mean of its divisors is an integer number (202083048).

Almost surely, 2^10116626160 is an apocalyptic number.

10116626160 is a gapful number since it is divisible by the number (10) 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 10116626160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166643840).

10116626160 is an abundant number, since it is smaller than the sum of its proper divisors (22216661520).

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

10116626160 is a wasteful number, since it uses less digits than its factorization.

10116626160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9935 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

It can be divided in two parts, 101 and 16626160, that added together give a triangular number (16626261 = T₅₇₆₆).

The spelling of 10116626160 in words is "ten billion, one hundred sixteen million, six hundred twenty-six thousand, one hundred sixty".