87178291200 has 2592 divisors, whose sum is σ = 442487616480. Its totient is φ = 16721510400.

The previous prime is 87178291199. The next prime is 87178291219. The reversal of 87178291200 is 219287178.

It is a factorial (87178291200 = 14 ! = 1 ⋅ 2 ⋅ 3 ⋅ 4 ⋅ 5 ⋅ 6 ⋅ 7 ⋅ 8 ⋅ 9 ⋅ 10 ⋅ 11 ⋅ 12 ⋅ 13 ⋅ 14 ), and thus also a Jordan-Polya number.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6706022394 + ... + 6706022406.

It is an arithmetic number, because the mean of its divisors is an integer number (170712815).

Almost surely, 2^87178291200 is an apocalyptic number.

87178291200 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 87178291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221243808240).

87178291200 is an abundant number, since it is smaller than the sum of its proper divisors (355309325280).

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

87178291200 is a wasteful number, since it uses less digits than its factorization.

87178291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 87178291200 in words is "eighty-seven billion, one hundred seventy-eight million, two hundred ninety-one thousand, two hundred".