88738567680 has 640 divisors, whose sum is σ = 334174325760. Its totient is φ = 19670630400.

The previous prime is 88738567601. The next prime is 88738567681. The reversal of 88738567680 is 8676583788.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88738567681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320355702 + ... + 320355978.

It is an arithmetic number, because the mean of its divisors is an integer number (522147384).

Almost surely, 2^88738567680 is an apocalyptic number.

88738567680 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 88738567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167087162880).

88738567680 is an abundant number, since it is smaller than the sum of its proper divisors (245435758080).

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

88738567680 is a wasteful number, since it uses less digits than its factorization.

88738567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 66.

The spelling of 88738567680 in words is "eighty-eight billion, seven hundred thirty-eight million, five hundred sixty-seven thousand, six hundred eighty".