27961004373660 has 144 divisors (see below), whose sum is σ = 92585626224000. Its totient is φ = 7063832660544.

The previous prime is 27961004373649. The next prime is 27961004373691. The reversal of 27961004373660 is 6637340016972.

It is a happy number.

27961004373660 is a `hidden beast` number, since 2 + 79 + 6 + 100 + 437 + 36 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27961004373597 and 27961004373606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151310110 + ... + 151494789.

Almost surely, 2^{27961004373660} is an apocalyptic number.

27961004373660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27961004373660 is an abundant number, since it is smaller than the sum of its proper divisors (64624621850340).

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

27961004373660 is a wasteful number, since it uses less digits than its factorization.

27961004373660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302804942 (or 302804928 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 27961004373660 in words is "twenty-seven trillion, nine hundred sixty-one billion, four million, three hundred seventy-three thousand, six hundred sixty".