88496409600 has 264 divisors, whose sum is σ = 324986141520. Its totient is φ = 23598858240.

The previous prime is 88496409583. The next prime is 88496409613. The reversal of 88496409600 is 690469488.

It is a super-2 number, since 2×88496409600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627184 + ... + 755216.

Almost surely, 2^88496409600 is an apocalyptic number.

88496409600 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 88496409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162493070760).

88496409600 is an abundant number, since it is smaller than the sum of its proper divisors (236489731920).

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

88496409600 is a wasteful number, since it uses less digits than its factorization.

88496409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128072 (or 128043 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 88496409600 in words is "eighty-eight billion, four hundred ninety-six million, four hundred nine thousand, six hundred".