88021028160 has 560 divisors, whose sum is σ = 340794081936. Its totient is φ = 21435383808.

The previous prime is 88021028131. The next prime is 88021028171. The reversal of 88021028160 is 6182012088.

It can be written as a sum of positive squares in 8 ways, for example, as 9616548096 + 78404480064 = 98064^2 + 280008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32683774 + ... + 32686466.

Almost surely, 2^88021028160 is an apocalyptic number.

88021028160 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 88021028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170397040968).

88021028160 is an abundant number, since it is smaller than the sum of its proper divisors (252773053776).

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

88021028160 is a wasteful number, since it uses less digits than its factorization.

88021028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 88021028160 in words is "eighty-eight billion, twenty-one million, twenty-eight thousand, one hundred sixty".