88774021600 has 216 divisors, whose sum is σ = 238910896224. Its totient is φ = 32186880000.

The previous prime is 88774021579. The next prime is 88774021631. The reversal of 88774021600 is 612047788.

It is a super-2 number, since 2×88774021600² (a number of 23 digits) contains 22 as substring.

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, 38815657 + ... + 38817943.

It is an arithmetic number, because the mean of its divisors is an integer number (1106068964).

Almost surely, 2^88774021600 is an apocalyptic number.

88774021600 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 88774021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119455448112).

88774021600 is an abundant number, since it is smaller than the sum of its proper divisors (150136874624).

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

88774021600 is a wasteful number, since it uses less digits than its factorization.

88774021600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 88774021600 in words is "eighty-eight billion, seven hundred seventy-four million, twenty-one thousand, six hundred".