89525509632000 has 3328 divisors, whose sum is σ = 379879550668800. Its totient is φ = 20620011110400.

The previous prime is 89525509631977. The next prime is 89525509632007. The reversal of 89525509632000 is 23690552598.

89525509632000 is a `hidden beast` number, since 8 + 9 + 5 + 2 + 550 + 9 + 63 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (89525509632007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 536080895917 + ... + 536080896083.

It is an arithmetic number, because the mean of its divisors is an integer number (114146499600).

Almost surely, 2^{89525509632000} is an apocalyptic number.

89525509632000 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 89525509632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189939775334400).

89525509632000 is an abundant number, since it is smaller than the sum of its proper divisors (290354041036800).

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

89525509632000 is a wasteful number, since it uses less digits than its factorization.

89525509632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 89525509632000 in words is "eighty-nine trillion, five hundred twenty-five billion, five hundred nine million, six hundred thirty-two thousand".