56064812477040 has 480 divisors, whose sum is σ = 203430653712000. Its totient is φ = 13794884640768.

The previous prime is 56064812477027. The next prime is 56064812477059. The reversal of 56064812477040 is 4077421846065.

56064812477040 is a `hidden beast` number, since 5 + 60 + 64 + 8 + 12 + 477 + 0 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 532533526 + ... + 532638794.

It is an arithmetic number, because the mean of its divisors is an integer number (423813861900).

Almost surely, 2^{56064812477040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56064812477040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101715326856000).

56064812477040 is an abundant number, since it is smaller than the sum of its proper divisors (147365841234960).

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

56064812477040 is a wasteful number, since it uses less digits than its factorization.

56064812477040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106449 (or 106440 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 56064812477040 in words is "fifty-six trillion, sixty-four billion, eight hundred twelve million, four hundred seventy-seven thousand, forty".