88109358480 has 960 divisors, whose sum is σ = 373791075840. Its totient is φ = 18269798400.

The previous prime is 88109358461. The next prime is 88109358509. The reversal of 88109358480 is 8485390188.

88109358480 is a `hidden beast` number, since 8 + 8 + 109 + 3 + 58 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124272366 + ... + 124273074.

It is an arithmetic number, because the mean of its divisors is an integer number (389365704).

Almost surely, 2^88109358480 is an apocalyptic number.

88109358480 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 88109358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186895537920).

88109358480 is an abundant number, since it is smaller than the sum of its proper divisors (285681717360).

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

88109358480 is a wasteful number, since it uses less digits than its factorization.

88109358480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 831 counting only the distinct ones).

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

The spelling of 88109358480 in words is "eighty-eight billion, one hundred nine million, three hundred fifty-eight thousand, four hundred eighty".