89792527968 has 504 divisors, whose sum is σ = 313871441184. Its totient is φ = 25106526720.

The previous prime is 89792527963. The next prime is 89792528083. The reversal of 89792527968 is 86972529798.

89792527968 is a `hidden beast` number, since 8 + 9 + 7 + 9 + 2 + 527 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 89792527896 and 89792527905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89792527963) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 36693721 + ... + 36696167.

It is an arithmetic number, because the mean of its divisors is an integer number (622760796).

Almost surely, 2^89792527968 is an apocalyptic number.

89792527968 is a gapful number since it is divisible by the number (88) 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 89792527968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156935720592).

89792527968 is an abundant number, since it is smaller than the sum of its proper divisors (224078913216).

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

89792527968 is a wasteful number, since it uses less digits than its factorization.

89792527968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2476 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 89792527968 in words is "eighty-nine billion, seven hundred ninety-two million, five hundred twenty-seven thousand, nine hundred sixty-eight".