87418384251200 has 42 divisors (see below), whose sum is σ = 215103861752046. Its totient is φ = 34967353699840.

The previous prime is 87418384251181. The next prime is 87418384251241. The reversal of 87418384251200 is 215248381478.

It can be written as a sum of positive squares in 3 ways, for example, as 368439288064 + 87049944963136 = 606992^2 + 9330056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27318243479 + ... + 27318246678.

Almost surely, 2^{87418384251200} is an apocalyptic number.

87418384251200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87418384251200 is an abundant number, since it is smaller than the sum of its proper divisors (127685477500846).

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

87418384251200 is a wasteful number, since it uses less digits than its factorization.

87418384251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54636490179 (or 54636490164 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 53.

The spelling of 87418384251200 in words is "eighty-seven trillion, four hundred eighteen billion, three hundred eighty-four million, two hundred fifty-one thousand, two hundred".