56551530537600 has 384 divisors, whose sum is σ = 213086519268480. Its totient is φ = 12913288396800.

The previous prime is 56551530537587. The next prime is 56551530537673. The reversal of 56551530537600 is 673503515565.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×56551530537600² (a number of 28 digits) contains 22 as substring.

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, 67658230 + ... + 68488970.

It is an arithmetic number, because the mean of its divisors is an integer number (554912810595).

Almost surely, 2^{56551530537600} is an apocalyptic number.

56551530537600 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 56551530537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106543259634240).

56551530537600 is an abundant number, since it is smaller than the sum of its proper divisors (156534988730880).

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

56551530537600 is a wasteful number, since it uses less digits than its factorization.

56551530537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831788 (or 831771 counting only the distinct ones).

The product of its (nonzero) digits is 7087500, while the sum is 51.

The spelling of 56551530537600 in words is "fifty-six trillion, five hundred fifty-one billion, five hundred thirty million, five hundred thirty-seven thousand, six hundred".