10616251680 has 144 divisors (see below), whose sum is σ = 37803205440. Its totient is φ = 2707905024.

The previous prime is 10616251669. The next prime is 10616251687. The reversal of 10616251680 is 8615261601.

10616251680 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 62 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10616251680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10616251687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127150 + ... + 193389.

It is an arithmetic number, because the mean of its divisors is an integer number (262522260).

Almost surely, 2^10616251680 is an apocalyptic number.

10616251680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10616251680 is an abundant number, since it is smaller than the sum of its proper divisors (27186953760).

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

10616251680 is a wasteful number, since it uses less digits than its factorization.

10616251680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320583 (or 320572 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10616251680 in words is "ten billion, six hundred sixteen million, two hundred fifty-one thousand, six hundred eighty".