89623294992 has 1280 divisors, whose sum is σ = 356091494400. Its totient is φ = 21163161600.

The previous prime is 89623294991. The next prime is 89623295011. The reversal of 89623294992 is 29949232698.

89623294992 is a `hidden beast` number, since 89 + 62 + 3 + 2 + 9 + 499 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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.

Its product of digits (30233088) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89623294991) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2422251198 + ... + 2422251234.

It is an arithmetic number, because the mean of its divisors is an integer number (278196480).

Almost surely, 2^89623294992 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 89623294992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178045747200).

89623294992 is an abundant number, since it is smaller than the sum of its proper divisors (266468199408).

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

89623294992 is a wasteful number, since it uses less digits than its factorization.

89623294992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 89623294992 in words is "eighty-nine billion, six hundred twenty-three million, two hundred ninety-four thousand, nine hundred ninety-two".