87388111872 has 176 divisors, whose sum is σ = 267727948800. Its totient is φ = 28124651520.

The previous prime is 87388111861. The next prime is 87388111897. The reversal of 87388111872 is 27811188378.

87388111872 is a `hidden beast` number, since 87 + 388 + 1 + 1 + 187 + 2 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747297 + ... + 856287.

Almost surely, 2^87388111872 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 87388111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133863974400).

87388111872 is an abundant number, since it is smaller than the sum of its proper divisors (180339836928).

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

87388111872 is a wasteful number, since it uses less digits than its factorization.

87388111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109049 (or 109025 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 54.

The spelling of 87388111872 in words is "eighty-seven billion, three hundred eighty-eight million, one hundred eleven thousand, eight hundred seventy-two".