87500418852000 has 768 divisors, whose sum is σ = 360198055526400. Its totient is φ = 18038716416000.

The previous prime is 87500418851999. The next prime is 87500418852017. The reversal of 87500418852000 is 25881400578.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116975176 + ... + 117720824.

It is an arithmetic number, because the mean of its divisors is an integer number (469007884800).

Almost surely, 2^{87500418852000} is an apocalyptic number.

87500418852000 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 87500418852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180099027763200).

87500418852000 is an abundant number, since it is smaller than the sum of its proper divisors (272697636674400).

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

87500418852000 is a wasteful number, since it uses less digits than its factorization.

87500418852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745822 (or 745804 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The spelling of 87500418852000 in words is "eighty-seven trillion, five hundred billion, four hundred eighteen million, eight hundred fifty-two thousand".