87115738501800 has 384 divisors, whose sum is σ = 307793874931200. Its totient is φ = 22634035200000.

The previous prime is 87115738501777. The next prime is 87115738501849. The reversal of 87115738501800 is 810583751178.

87115738501800 is a `hidden beast` number, since 8 + 7 + 1 + 1 + 57 + 3 + 8 + 501 + 80 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 166009432 + ... + 166533368.

It is an arithmetic number, because the mean of its divisors is an integer number (801546549300).

Almost surely, 2^{87115738501800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87115738501800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153896937465600).

87115738501800 is an abundant number, since it is smaller than the sum of its proper divisors (220678136429400).

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

87115738501800 is a wasteful number, since it uses less digits than its factorization.

87115738501800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524754 (or 524739 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 54.

The spelling of 87115738501800 in words is "eighty-seven trillion, one hundred fifteen billion, seven hundred thirty-eight million, five hundred one thousand, eight hundred".