10072582416 has 160 divisors (see below), whose sum is σ = 32967889920. Its totient is φ = 2916919296.

The previous prime is 10072582393. The next prime is 10072582427. The reversal of 10072582416 is 61428527001.

10072582416 is a `hidden beast` number, since 1 + 0 + 0 + 72 + 582 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×10072582416² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42721 + ... + 148223.

It is an arithmetic number, because the mean of its divisors is an integer number (206049312).

Almost surely, 2^10072582416 is an apocalyptic number.

10072582416 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 10072582416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483944960).

10072582416 is an abundant number, since it is smaller than the sum of its proper divisors (22895307504).

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

10072582416 is a wasteful number, since it uses less digits than its factorization.

10072582416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105550 (or 105538 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10072582416 in words is "ten billion, seventy-two million, five hundred eighty-two thousand, four hundred sixteen".