88088005416480 has 384 divisors, whose sum is σ = 295149289881600. Its totient is φ = 22006860201984.

The previous prime is 88088005416461. The next prime is 88088005416511. The reversal of 88088005416480 is 8461450088088.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 5661538941 + ... + 5661554499.

It is an arithmetic number, because the mean of its divisors is an integer number (768617942400).

Almost surely, 2^{88088005416480} is an apocalyptic number.

88088005416480 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 88088005416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147574644940800).

88088005416480 is an abundant number, since it is smaller than the sum of its proper divisors (207061284465120).

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

88088005416480 is a wasteful number, since it uses less digits than its factorization.

88088005416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18736 (or 18728 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 60.

The spelling of 88088005416480 in words is "eighty-eight trillion, eighty-eight billion, five million, four hundred sixteen thousand, four hundred eighty".