87148681747200 has 1944 divisors, whose sum is σ = 340653627241200. Its totient is φ = 22039786782720.

The previous prime is 87148681747163. The next prime is 87148681747247. The reversal of 87148681747200 is 274718684178.

87148681747200 is a `hidden beast` number, since 8 + 7 + 1 + 4 + 86 + 81 + 7 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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, 71845573794 + ... + 71845575006.

Almost surely, 2^{87148681747200} is an apocalyptic number.

87148681747200 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 87148681747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170326813620600).

87148681747200 is an abundant number, since it is smaller than the sum of its proper divisors (253504945494000).

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

87148681747200 is an equidigital number, since it uses as much as digits as its factorization.

87148681747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 87148681747200 in words is "eighty-seven trillion, one hundred forty-eight billion, six hundred eighty-one million, seven hundred forty-seven thousand, two hundred".