10082457360 has 120 divisors (see below), whose sum is σ = 34952596224. Its totient is φ = 2601918720.

The previous prime is 10082457337. The next prime is 10082457367. The reversal of 10082457360 is 6375428001.

10082457360 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 24 + 573 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (10082457367) 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, 203542 + ... + 248181.

Almost surely, 2^10082457360 is an apocalyptic number.

10082457360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10082457360 is an abundant number, since it is smaller than the sum of its proper divisors (24870138864).

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

10082457360 is a wasteful number, since it uses less digits than its factorization.

10082457360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451773 (or 451764 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10082457360 in words is "ten billion, eighty-two million, four hundred fifty-seven thousand, three hundred sixty".