88478275092480 has 2160 divisors, whose sum is σ = 400991678889984. Its totient is φ = 17854114037760.

The previous prime is 88478275092419. The next prime is 88478275092491. The reversal of 88478275092480 is 8429057287488.

88478275092480 is a `hidden beast` number, since 8 + 8 + 4 + 7 + 8 + 2 + 7 + 50 + 92 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 88478275092399 and 88478275092408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10801885185 + ... + 10801893375.

Almost surely, 2^{88478275092480} is an apocalyptic number.

88478275092480 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 88478275092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200495839444992).

88478275092480 is an abundant number, since it is smaller than the sum of its proper divisors (312513403797504).

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

88478275092480 is a wasteful number, since it uses less digits than its factorization.

88478275092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 88478275092480 in words is "eighty-eight trillion, four hundred seventy-eight billion, two hundred seventy-five million, ninety-two thousand, four hundred eighty".