89837579520 has 360 divisors, whose sum is σ = 346187811816. Its totient is φ = 22113533952.

The previous prime is 89837579497. The next prime is 89837579543. The reversal of 89837579520 is 2597573898.

89837579520 is a `hidden beast` number, since 8 + 9 + 8 + 3 + 7 + 579 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (89837579497) and next prime (89837579543).

It can be written as a sum of positive squares in 4 ways, for example, as 5142610944 + 84694968576 = 71712^2 + 291024^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1314514 + ... + 1381166.

Almost surely, 2^89837579520 is an apocalyptic number.

89837579520 is a gapful number since it is divisible by the number (80) 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 89837579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173093905908).

89837579520 is an abundant number, since it is smaller than the sum of its proper divisors (256350232296).

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

89837579520 is a wasteful number, since it uses less digits than its factorization.

89837579520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66699 (or 66676 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 89837579520 in words is "eighty-nine billion, eight hundred thirty-seven million, five hundred seventy-nine thousand, five hundred twenty".