88914801040 has 80 divisors (see below), whose sum is σ = 222772210416. Its totient is φ = 32808960000.

The previous prime is 88914801037. The next prime is 88914801077. The reversal of 88914801040 is 4010841988.

It can be written as a sum of positive squares in 8 ways, for example, as 463282576 + 88451518464 = 21524^2 + 297408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1638340 + ... + 1691740.

Almost surely, 2^88914801040 is an apocalyptic number.

88914801040 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 88914801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111386105208).

88914801040 is an abundant number, since it is smaller than the sum of its proper divisors (133857409376).

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

88914801040 is a wasteful number, since it uses less digits than its factorization.

88914801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55028 (or 55022 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The spelling of 88914801040 in words is "eighty-eight billion, nine hundred fourteen million, eight hundred one thousand, forty".