89759921664 has 720 divisors, whose sum is σ = 308506240944. Its totient is φ = 23038525440.

The previous prime is 89759921663. The next prime is 89759921701. The reversal of 89759921664 is 46612995798.

It is a junction number, because it is equal to n+sod(n) for n = 89759921595 and 89759921604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89759921663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1229587932 + ... + 1229588004.

Almost surely, 2^89759921664 is an apocalyptic number.

89759921664 is a gapful number since it is divisible by the number (84) 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 89759921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154253120472).

89759921664 is an abundant number, since it is smaller than the sum of its proper divisors (218746319280).

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

89759921664 is a wasteful number, since it uses less digits than its factorization.

89759921664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 133 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 66.

The spelling of 89759921664 in words is "eighty-nine billion, seven hundred fifty-nine million, nine hundred twenty-one thousand, six hundred sixty-four".