56716151225600 has 432 divisors, whose sum is σ = 146287701362880. Its totient is φ = 21753824870400.

The previous prime is 56716151225581. The next prime is 56716151225621. The reversal of 56716151225600 is 652215161765.

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, 4290495791 + ... + 4290509009.

It is an arithmetic number, because the mean of its divisors is an integer number (338628938340).

Almost surely, 2^{56716151225600} is an apocalyptic number.

56716151225600 is a gapful number since it is divisible by the number (50) 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 56716151225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73143850681440).

56716151225600 is an abundant number, since it is smaller than the sum of its proper divisors (89571550137280).

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

56716151225600 is a wasteful number, since it uses less digits than its factorization.

56716151225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13566 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 47.

The spelling of 56716151225600 in words is "fifty-six trillion, seven hundred sixteen billion, one hundred fifty-one million, two hundred twenty-five thousand, six hundred".