187680950231040 has 336 divisors, whose sum is σ = 743528676503808. Its totient is φ = 42898502320128.

The previous prime is 187680950231003. The next prime is 187680950231063. The reversal of 187680950231040 is 40132059086781.

187680950231040 is a `hidden beast` number, since 1 + 8 + 7 + 6 + 80 + 9 + 502 + 3 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×187680950231040² (a number of 29 digits) contains 22 as substring.

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, 33785032 + ... + 38945991.

It is a 2-persistent number, because it is pandigital, and so is 2⋅187680950231040 = 375361900462080, but 3⋅187680950231040 = 563042850693120 is not.

Almost surely, 2^{187680950231040} is an apocalyptic number.

187680950231040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

187680950231040 is an abundant number, since it is smaller than the sum of its proper divisors (555847726272768).

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

187680950231040 is an equidigital number, since it uses as much as digits as its factorization.

187680950231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72731067 (or 72731040 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 187680950231040 in words is "one hundred eighty-seven trillion, six hundred eighty billion, nine hundred fifty million, two hundred thirty-one thousand, forty".