88874311680 has 1344 divisors, whose sum is σ = 400414150656. Its totient is φ = 17694720000.

The previous prime is 88874311633. The next prime is 88874311703. The reversal of 88874311680 is 8611347888.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 879943630 + ... + 879943730.

Almost surely, 2^88874311680 is an apocalyptic number.

88874311680 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 88874311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200207075328).

88874311680 is an abundant number, since it is smaller than the sum of its proper divisors (311539838976).

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

88874311680 is a wasteful number, since it uses less digits than its factorization.

88874311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 88874311680 in words is "eighty-eight billion, eight hundred seventy-four million, three hundred eleven thousand, six hundred eighty".