88088340480 has 768 divisors, whose sum is σ = 336259123200. Its totient is φ = 19271516160.

The previous prime is 88088340467. The next prime is 88088340491. The reversal of 88088340480 is 8404388088.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 672430015 + ... + 672430145.

It is an arithmetic number, because the mean of its divisors is an integer number (437837400).

Almost surely, 2^88088340480 is an apocalyptic number.

88088340480 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 88088340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168129561600).

88088340480 is an abundant number, since it is smaller than the sum of its proper divisors (248170782720).

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

88088340480 is a wasteful number, since it uses less digits than its factorization.

88088340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The spelling of 88088340480 in words is "eighty-eight billion, eighty-eight million, three hundred forty thousand, four hundred eighty".