88762318848 has 768 divisors, whose sum is σ = 322788710400. Its totient is φ = 22932357120.

The previous prime is 88762318823. The next prime is 88762318877. The reversal of 88762318848 is 84881326788.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 1215922140 + ... + 1215922212.

It is an arithmetic number, because the mean of its divisors is an integer number (420297800).

Almost surely, 2^88762318848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88762318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161394355200).

88762318848 is an abundant number, since it is smaller than the sum of its proper divisors (234026391552).

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

88762318848 is a wasteful number, since it uses less digits than its factorization.

88762318848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 63.

The spelling of 88762318848 in words is "eighty-eight billion, seven hundred sixty-two million, three hundred eighteen thousand, eight hundred forty-eight".