56536532784000 has 1152 divisors, whose sum is σ = 212979496111200. Its totient is φ = 14363854848000.

The previous prime is 56536532783999. The next prime is 56536532784019. The reversal of 56536532784000 is 48723563565.

56536532784000 is a `hidden beast` number, since 5 + 6 + 5 + 36 + 532 + 78 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10916493411 + ... + 10916498589.

Almost surely, 2^{56536532784000} is an apocalyptic number.

56536532784000 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 56536532784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106489748055600).

56536532784000 is an abundant number, since it is smaller than the sum of its proper divisors (156442963327200).

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

56536532784000 is a wasteful number, since it uses less digits than its factorization.

56536532784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 56536532784000 in words is "fifty-six trillion, five hundred thirty-six billion, five hundred thirty-two million, seven hundred eighty-four thousand".