89723531520 has 1296 divisors, whose sum is σ = 388822761600. Its totient is φ = 19801055232.

The previous prime is 89723531509. The next prime is 89723531531. The reversal of 89723531520 is 2513532798.

89723531520 is a `hidden beast` number, since 8 + 9 + 72 + 3 + 53 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (89723531509) and next prime (89723531531).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3093914866 + ... + 3093914894.

Almost surely, 2^89723531520 is an apocalyptic number.

89723531520 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 89723531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194411380800).

89723531520 is an abundant number, since it is smaller than the sum of its proper divisors (299099230080).

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

89723531520 is an frugal number, since it uses more digits than its factorization.

89723531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 89723531520 in words is "eighty-nine billion, seven hundred twenty-three million, five hundred thirty-one thousand, five hundred twenty".