187381374935040 has 5376 divisors, whose sum is σ = 858387835468800. Its totient is φ = 38755683532800.

The previous prime is 187381374935039. The next prime is 187381374935057. The reversal of 187381374935040 is 40539473183781.

187381374935040 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 8 + 1 + 37 + 4 + 93 + 504 + 0 = 666.

It is a super-2 number, since 2×187381374935040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4570277437420 + ... + 4570277437460.

It is an arithmetic number, because the mean of its divisors is an integer number (159670356300).

Almost surely, 2^{187381374935040} is an apocalyptic number.

187381374935040 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 187381374935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429193917734400).

187381374935040 is an abundant number, since it is smaller than the sum of its proper divisors (671006460533760).

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

187381374935040 is an equidigital number, since it uses as much as digits as its factorization.

187381374935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 187381374935040 in words is "one hundred eighty-seven trillion, three hundred eighty-one billion, three hundred seventy-four million, nine hundred thirty-five thousand, forty".