861337133813520 has 480 divisors, whose sum is σ = 3656414942299392. Its totient is φ = 176820975710208.

The previous prime is 861337133813509. The next prime is 861337133813591. The reversal of 861337133813520 is 25318331733168.

861337133813520 is a `hidden beast` number, since 8 + 6 + 1 + 3 + 3 + 7 + 1 + 33 + 81 + 3 + 520 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175226722 + ... + 180075201.

Almost surely, 2^{861337133813520} is an apocalyptic number.

861337133813520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

861337133813520 is an abundant number, since it is smaller than the sum of its proper divisors (2795077808485872).

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

861337133813520 is a wasteful number, since it uses less digits than its factorization.

861337133813520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355301999 (or 355301990 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 861337133813520 in words is "eight hundred sixty-one trillion, three hundred thirty-seven billion, one hundred thirty-three million, eight hundred thirteen thousand, five hundred twenty".