88492801600 has 168 divisors, whose sum is σ = 249544067840. Its totient is φ = 30256312320.

The previous prime is 88492801591. The next prime is 88492801609. The reversal of 88492801600 is 610829488.

It is an interprime number because it is at equal distance from previous prime (88492801591) and next prime (88492801609).

It is not an unprimeable number, because it can be changed into a prime (88492801609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4099636 + ... + 4121164.

Almost surely, 2^88492801600 is an apocalyptic number.

88492801600 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 88492801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124772033920).

88492801600 is an abundant number, since it is smaller than the sum of its proper divisors (161051266240).

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

88492801600 is a wasteful number, since it uses less digits than its factorization.

88492801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21925 (or 21910 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 88492801600 in words is "eighty-eight billion, four hundred ninety-two million, eight hundred one thousand, six hundred".