56419727040 has 560 divisors, whose sum is σ = 207122572800. Its totient is φ = 14571767808.

The previous prime is 56419726969. The next prime is 56419727057. The reversal of 56419727040 is 4072791465.

56419727040 is a `hidden beast` number, since 564 + 19 + 7 + 2 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120812887 + ... + 120813353.

Almost surely, 2^56419727040 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 56419727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103561286400).

56419727040 is an abundant number, since it is smaller than the sum of its proper divisors (150702845760).

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

56419727040 is a wasteful number, since it uses less digits than its factorization.

56419727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 56419727040 in words is "fifty-six billion, four hundred nineteen million, seven hundred twenty-seven thousand, forty".