89873520000 has 640 divisors, whose sum is σ = 331521379200. Its totient is φ = 21381120000.

The previous prime is 89873519971. The next prime is 89873520001. The reversal of 89873520000 is 2537898.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89873520001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155759712 + ... + 155760288.

It is an arithmetic number, because the mean of its divisors is an integer number (518002155).

Almost surely, 2^89873520000 is an apocalyptic number.

89873520000 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 89873520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165760689600).

89873520000 is an abundant number, since it is smaller than the sum of its proper divisors (241647859200).

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

89873520000 is a wasteful number, since it uses less digits than its factorization.

89873520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 89873520000 in words is "eighty-nine billion, eight hundred seventy-three million, five hundred twenty thousand".