56346509520 has 1120 divisors, whose sum is σ = 248719652352. Its totient is φ = 11561730048.

The previous prime is 56346509467. The next prime is 56346509521. The reversal of 56346509520 is 2590564365.

56346509520 is a `hidden beast` number, since 5 + 63 + 4 + 65 + 0 + 9 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56346509521) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 159621664 + ... + 159622016.

Almost surely, 2^56346509520 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 56346509520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124359826176).

56346509520 is an abundant number, since it is smaller than the sum of its proper divisors (192373142832).

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

56346509520 is a wasteful number, since it uses less digits than its factorization.

56346509520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 410 counting only the distinct ones).

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

The spelling of 56346509520 in words is "fifty-six billion, three hundred forty-six million, five hundred nine thousand, five hundred twenty".