88281590604480 has 2688 divisors, whose sum is σ = 402202594160640. Its totient is φ = 17245274112000.

The previous prime is 88281590604469. The next prime is 88281590604521. The reversal of 88281590604480 is 8440609518288.

88281590604480 is a `hidden beast` number, since 8 + 8 + 2 + 8 + 1 + 5 + 90 + 60 + 4 + 480 = 666.

It is a super-2 number, since 2×88281590604480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99528286597 + ... + 99528287483.

It is an arithmetic number, because the mean of its divisors is an integer number (149628941280).

Almost surely, 2^{88281590604480} is an apocalyptic number.

88281590604480 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 88281590604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201101297080320).

88281590604480 is an abundant number, since it is smaller than the sum of its proper divisors (313921003556160).

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

88281590604480 is a wasteful number, since it uses less digits than its factorization.

88281590604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 88281590604480 in words is "eighty-eight trillion, two hundred eighty-one billion, five hundred ninety million, six hundred four thousand, four hundred eighty".