187312521876480 has 5280 divisors, whose sum is σ = 919293268158720. Its totient is φ = 35610128547840.

The previous prime is 187312521876457. The next prime is 187312521876499. The reversal of 187312521876480 is 84678125213781.

187312521876480 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 125 + 21 + 8 + 7 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1657632936904 + ... + 1657632937016.

Almost surely, 2^{187312521876480} is an apocalyptic number.

187312521876480 is a gapful number since it is divisible by the number (10) 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 187312521876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459646634079360).

187312521876480 is an abundant number, since it is smaller than the sum of its proper divisors (731980746282240).

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

187312521876480 is an equidigital number, since it uses as much as digits as its factorization.

187312521876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 187312521876480 in words is "one hundred eighty-seven trillion, three hundred twelve billion, five hundred twenty-one million, eight hundred seventy-six thousand, four hundred eighty".