87472365523200 has 1944 divisors, whose sum is σ = 378200811223872. Its totient is φ = 19944163491840.

The previous prime is 87472365523199. The next prime is 87472365523267. The reversal of 87472365523200 is 232556327478.

87472365523200 is a `hidden beast` number, since 8 + 7 + 4 + 72 + 365 + 5 + 2 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 37111736422 + ... + 37111738778.

Almost surely, 2^{87472365523200} is an apocalyptic number.

87472365523200 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 87472365523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189100405611936).

87472365523200 is an abundant number, since it is smaller than the sum of its proper divisors (290728445700672).

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

87472365523200 is a wasteful number, since it uses less digits than its factorization.

87472365523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 87472365523200 in words is "eighty-seven trillion, four hundred seventy-two billion, three hundred sixty-five million, five hundred twenty-three thousand, two hundred".