88771020800 has 864 divisors, whose sum is σ = 291750076800. Its totient is φ = 26168524800.

The previous prime is 88771020799. The next prime is 88771020841. The reversal of 88771020800 is 802017788.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 997427156 + ... + 997427244.

It is an arithmetic number, because the mean of its divisors is an integer number (337673700).

Almost surely, 2^88771020800 is an apocalyptic number.

88771020800 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 88771020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145875038400).

88771020800 is an abundant number, since it is smaller than the sum of its proper divisors (202979056000).

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

88771020800 is a wasteful number, since it uses less digits than its factorization.

88771020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 41.

It can be divided in two parts, 88 and 771020800, that multiplied together give a square (67849830400 = 260480²).

The spelling of 88771020800 in words is "eighty-eight billion, seven hundred seventy-one million, twenty thousand, eight hundred".