88749406080 has 320 divisors, whose sum is σ = 317468329200. Its totient is φ = 23627096064.

The previous prime is 88749406073. The next prime is 88749406093. The reversal of 88749406080 is 8060494788.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44529564 + ... + 44531556.

Almost surely, 2^88749406080 is an apocalyptic number.

88749406080 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 88749406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158734164600).

88749406080 is an abundant number, since it is smaller than the sum of its proper divisors (228718923120).

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

88749406080 is a wasteful number, since it uses less digits than its factorization.

88749406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 88749406080 in words is "eighty-eight billion, seven hundred forty-nine million, four hundred six thousand, eighty".