89166792960 has 864 divisors, whose sum is σ = 371371972608. Its totient is φ = 19322634240.

The previous prime is 89166792947. The next prime is 89166792961. The reversal of 89166792960 is 6929766198.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (89166792961) by changing a digit.

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, 132491184 + ... + 132491856.

It is an arithmetic number, because the mean of its divisors is an integer number (429828672).

Almost surely, 2^89166792960 is an apocalyptic number.

89166792960 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 89166792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185685986304).

89166792960 is an abundant number, since it is smaller than the sum of its proper divisors (282205179648).

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

89166792960 is a wasteful number, since it uses less digits than its factorization.

89166792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 89166792960 in words is "eighty-nine billion, one hundred sixty-six million, seven hundred ninety-two thousand, nine hundred sixty".