88121600000 has 432 divisors, whose sum is σ = 257104755180. Its totient is φ = 30105600000.

The previous prime is 88121599981. The next prime is 88121600023. The reversal of 88121600000 is 612188.

It can be written as a sum of positive squares in 6 ways, for example, as 6041641984 + 82079958016 = 77728^2 + 286496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 313599860 + ... + 313600140.

Almost surely, 2^88121600000 is an apocalyptic number.

88121600000 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 88121600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128552377590).

88121600000 is an abundant number, since it is smaller than the sum of its proper divisors (168983155180).

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

88121600000 is an frugal number, since it uses more digits than its factorization.

88121600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The spelling of 88121600000 in words is "eighty-eight billion, one hundred twenty-one million, six hundred thousand".