56495899353600 has 960 divisors, whose sum is σ = 237169805875200. Its totient is φ = 12903624622080.

The previous prime is 56495899353587. The next prime is 56495899353623. The reversal of 56495899353600 is 635399859465.

56495899353600 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 5 + 8 + 9 + 9 + 3 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3500574331 + ... + 3500590469.

It is an arithmetic number, because the mean of its divisors is an integer number (247051881120).

Almost surely, 2^{56495899353600} is an apocalyptic number.

56495899353600 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 56495899353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118584902937600).

56495899353600 is an abundant number, since it is smaller than the sum of its proper divisors (180673906521600).

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

56495899353600 is a wasteful number, since it uses less digits than its factorization.

56495899353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17630 (or 17603 counting only the distinct ones).

The product of its (nonzero) digits is 944784000, while the sum is 72.

The spelling of 56495899353600 in words is "fifty-six trillion, four hundred ninety-five billion, eight hundred ninety-nine million, three hundred fifty-three thousand, six hundred".