89961593040 has 180 divisors, whose sum is σ = 332083753092. Its totient is φ = 21808849920.

The previous prime is 89961593039. The next prime is 89961593041. The reversal of 89961593040 is 4039516998.

89961593040 is a `hidden beast` number, since 8 + 9 + 9 + 6 + 1 + 593 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (89961593039) and next prime (89961593041).

It can be written as a sum of positive squares in 2 ways, for example, as 70604992656 + 19356600384 = 265716^2 + 139128^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89961593041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 429189 + ... + 603428.

Almost surely, 2^89961593040 is an apocalyptic number.

89961593040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89961593040 is an abundant number, since it is smaller than the sum of its proper divisors (242122160052).

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

89961593040 is a wasteful number, since it uses less digits than its factorization.

89961593040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032658 (or 1032638 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 89961593040 in words is "eighty-nine billion, nine hundred sixty-one million, five hundred ninety-three thousand, forty".