56350419840 has 1152 divisors, whose sum is σ = 240368899680. Its totient is φ = 11983749120.

The previous prime is 56350419833. The next prime is 56350419871. The reversal of 56350419840 is 4891405365.

56350419840 is a `hidden beast` number, since 5 + 63 + 504 + 1 + 9 + 84 + 0 = 666.

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

It is a super-2 number, since 2×56350419840² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1310474859 + ... + 1310474901.

Almost surely, 2^56350419840 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 56350419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120184449840).

56350419840 is an abundant number, since it is smaller than the sum of its proper divisors (184018479840).

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

56350419840 is a wasteful number, since it uses less digits than its factorization.

56350419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56350419840 in words is "fifty-six billion, three hundred fifty million, four hundred nineteen thousand, eight hundred forty".