10627700160 has 1344 divisors, whose sum is σ = 48034529280. Its totient is φ = 1958584320.

The previous prime is 10627700123. The next prime is 10627700177. The reversal of 10627700160 is 6100772601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10627700160² (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 191 ways as a sum of consecutive naturals, for example, 226121257 + ... + 226121303.

Almost surely, 2^10627700160 is an apocalyptic number.

10627700160 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 10627700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24017264640).

10627700160 is an abundant number, since it is smaller than the sum of its proper divisors (37406829120).

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

10627700160 is a wasteful number, since it uses less digits than its factorization.

10627700160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 10627700160 in words is "ten billion, six hundred twenty-seven million, seven hundred thousand, one hundred sixty".