107627520000 has 1680 divisors, whose sum is σ = 490104391392. Its totient is φ = 20643840000.

The previous prime is 107627519981. The next prime is 107627520017. The reversal of 107627520000 is 25726701.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×107627520000² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107627520000.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8279039994 + ... + 8279040006.

Almost surely, 2^107627520000 is an apocalyptic number.

107627520000 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 107627520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245052195696).

107627520000 is an abundant number, since it is smaller than the sum of its proper divisors (382476871392).

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

107627520000 is an equidigital number, since it uses as much as digits as its factorization.

107627520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 107627520000 in words is "one hundred seven billion, six hundred twenty-seven million, five hundred twenty thousand".