88488403200 has 162 divisors, whose sum is σ = 316366218714. Its totient is φ = 23596892160.

The previous prime is 88488403181. The next prime is 88488403207. The reversal of 88488403200 is 230488488.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1656815616 + 86831587584 = 40704^2 + 294672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (88488403207) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 710529 + ... + 825728.

Almost surely, 2^88488403200 is an apocalyptic number.

88488403200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88488403200 is an abundant number, since it is smaller than the sum of its proper divisors (227877815514).

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

88488403200 is a wasteful number, since it uses less digits than its factorization.

88488403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536289 (or 1536267 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 88488403200 in words is "eighty-eight billion, four hundred eighty-eight million, four hundred three thousand, two hundred".