56066932941300 has 864 divisors, whose sum is σ = 197900526305664. Its totient is φ = 13712799744000.

The previous prime is 56066932941287. The next prime is 56066932941307. The reversal of 56066932941300 is 314923966065.

56066932941300 is a `hidden beast` number, since 5 + 6 + 0 + 6 + 6 + 9 + 329 + 4 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56066932941307) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23254637095 + ... + 23254639505.

It is an arithmetic number, because the mean of its divisors is an integer number (229051535076).

Almost surely, 2^{56066932941300} is an apocalyptic number.

56066932941300 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 56066932941300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98950263152832).

56066932941300 is an abundant number, since it is smaller than the sum of its proper divisors (141833593364364).

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

56066932941300 is a wasteful number, since it uses less digits than its factorization.

56066932941300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 56066932941300 in words is "fifty-six trillion, sixty-six billion, nine hundred thirty-two million, nine hundred forty-one thousand, three hundred".