56509625340 has 648 divisors, whose sum is σ = 211384358640. Its totient is φ = 12179220480.

The previous prime is 56509625321. The next prime is 56509625363. The reversal of 56509625340 is 4352690565.

56509625340 is a `hidden beast` number, since 5 + 6 + 50 + 9 + 62 + 534 + 0 = 666.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 500085124 + ... + 500085236.

It is an arithmetic number, because the mean of its divisors is an integer number (326210430).

Almost surely, 2^56509625340 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 56509625340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105692179320).

56509625340 is an abundant number, since it is smaller than the sum of its proper divisors (154874733300).

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

56509625340 is a wasteful number, since it uses less digits than its factorization.

56509625340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 56509625340 in words is "fifty-six billion, five hundred nine million, six hundred twenty-five thousand, three hundred forty".