56076613191360 has 1568 divisors, whose sum is σ = 213508996968960. Its totient is φ = 14002174771200.

The previous prime is 56076613191349. The next prime is 56076613191421. The reversal of 56076613191360 is 6319131667065.

It is a happy number.

56076613191360 is a `hidden beast` number, since 5 + 6 + 0 + 7 + 6 + 613 + 1 + 9 + 13 + 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 = 56076613191297 and 56076613191306.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 24265084605 + ... + 24265086915.

Almost surely, 2^{56076613191360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56076613191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106754498484480).

56076613191360 is an abundant number, since it is smaller than the sum of its proper divisors (157432383777600).

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

56076613191360 is a wasteful number, since it uses less digits than its factorization.

56076613191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 56076613191360 in words is "fifty-six trillion, seventy-six billion, six hundred thirteen million, one hundred ninety-one thousand, three hundred sixty".