88092085680 has 160 divisors (see below), whose sum is σ = 303776985600. Its totient is φ = 23464228608.

The previous prime is 88092085643. The next prime is 88092085721. The reversal of 88092085680 is 8658029088.

It is a super-2 number, since 2×88092085680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1892931 + ... + 1938909.

It is an arithmetic number, because the mean of its divisors is an integer number (1898606160).

Almost surely, 2^88092085680 is an apocalyptic number.

88092085680 is a gapful number since it is divisible by the number (80) 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 88092085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151888492800).

88092085680 is an abundant number, since it is smaller than the sum of its proper divisors (215684899920).

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

88092085680 is a wasteful number, since it uses less digits than its factorization.

88092085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46888 (or 46876 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 88092085680 in words is "eighty-eight billion, ninety-two million, eighty-five thousand, six hundred eighty".