89935753464 has 160 divisors (see below), whose sum is σ = 253755730800. Its totient is φ = 29759063040.

The previous prime is 89935753423. The next prime is 89935753469. The reversal of 89935753464 is 46435753998.

89935753464 is a `hidden beast` number, since 8 + 9 + 9 + 35 + 7 + 534 + 64 = 666.

It is a super-2 number, since 2×89935753464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89935753469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58742379 + ... + 58743909.

Almost surely, 2^89935753464 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 89935753464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126877865400).

89935753464 is an abundant number, since it is smaller than the sum of its proper divisors (163819977336).

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

89935753464 is a wasteful number, since it uses less digits than its factorization.

89935753464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2142 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 89935753464 in words is "eighty-nine billion, nine hundred thirty-five million, seven hundred fifty-three thousand, four hundred sixty-four".