56582227520 has 336 divisors, whose sum is σ = 168111635328. Its totient is φ = 17760337920.

The previous prime is 56582227519. The next prime is 56582227543. The reversal of 56582227520 is 2572228565.

It is a super-2 number, since 2×56582227520² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51862175 + ... + 51863265.

It is an arithmetic number, because the mean of its divisors is an integer number (500332248).

Almost surely, 2^56582227520 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 56582227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84055817664).

56582227520 is an abundant number, since it is smaller than the sum of its proper divisors (111529407808).

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

56582227520 is a wasteful number, since it uses less digits than its factorization.

56582227520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 44.

The spelling of 56582227520 in words is "fifty-six billion, five hundred eighty-two million, two hundred twenty-seven thousand, five hundred twenty".