82507153092 has 96 divisors (see below), whose sum is σ = 238146999552. Its totient is φ = 21649614336.

The previous prime is 82507153081. The next prime is 82507153111. The reversal of 82507153092 is 29035170528.

It is a happy number.

It is a super-2 number, since 2×82507153092² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 23358 + ... + 406890.

It is an arithmetic number, because the mean of its divisors is an integer number (2480697912).

Almost surely, 2^82507153092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82507153092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119073499776).

82507153092 is an abundant number, since it is smaller than the sum of its proper divisors (155639846460).

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

82507153092 is a wasteful number, since it uses less digits than its factorization.

82507153092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383757 (or 383755 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 82507153092 in words is "eighty-two billion, five hundred seven million, one hundred fifty-three thousand, ninety-two".