88766982720 has 336 divisors, whose sum is σ = 329353420032. Its totient is φ = 21814087680.

The previous prime is 88766982691. The next prime is 88766982727. The reversal of 88766982720 is 2728966788.

It is not an unprimeable number, because it can be changed into a prime (88766982727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27816325 + ... + 27819515.

It is an arithmetic number, because the mean of its divisors is an integer number (980218512).

Almost surely, 2^88766982720 is an apocalyptic number.

88766982720 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 88766982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164676710016).

88766982720 is an abundant number, since it is smaller than the sum of its proper divisors (240586437312).

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

88766982720 is a wasteful number, since it uses less digits than its factorization.

88766982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 88766982720 in words is "eighty-eight billion, seven hundred sixty-six million, nine hundred eighty-two thousand, seven hundred twenty".