187961796727056 has 675 divisors, whose sum is σ = 606320856930943. Its totient is φ = 56173364628480.

The previous prime is 187961796726989. The next prime is 187961796727073. The reversal of 187961796727056 is 650727697169781.

The square root of 187961796727056 is 13709916.

It is a perfect power (a square), and thus also a powerful number.

187961796727056 is a `hidden beast` number, since 1 + 8 + 79 + 6 + 179 + 67 + 270 + 56 = 666.

187961796727056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 61658364016656 + 126303432710400 = 7852284^2 + 11238480^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 483192279310 + ... + 483192279698.

Almost surely, 2^{187961796727056} is an apocalyptic number.

187961796727056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

187961796727056 is the 13709916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187961796727056

187961796727056 is an abundant number, since it is smaller than the sum of its proper divisors (418359060203887).

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

187961796727056 is an frugal number, since it uses more digits than its factorization.

187961796727056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 3360631680, while the sum is 81.

187961796727056 divided by its sum of digits (81) gives a square (2320516008976 = 1523324²).

The spelling of 187961796727056 in words is "one hundred eighty-seven trillion, nine hundred sixty-one billion, seven hundred ninety-six million, seven hundred twenty-seven thousand, fifty-six".