87119431200 has 144 divisors (see below), whose sum is σ = 315082020960. Its totient is φ = 23231842560.

The previous prime is 87119431187. The next prime is 87119431219. The reversal of 87119431200 is 213491178.

It is a happy number.

87119431200 is a `hidden beast` number, since 8 + 7 + 1 + 19 + 431 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×87119431200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1995054 + ... + 2038253.

It is an arithmetic number, because the mean of its divisors is an integer number (2188069590).

Almost surely, 2^87119431200 is an apocalyptic number.

87119431200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87119431200 is an abundant number, since it is smaller than the sum of its proper divisors (227962589760).

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

87119431200 is a wasteful number, since it uses less digits than its factorization.

87119431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033336 (or 4033317 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 87119431200 in words is "eighty-seven billion, one hundred nineteen million, four hundred thirty-one thousand, two hundred".