56073723552 has 1344 divisors, whose sum is σ = 228457635840. Its totient is φ = 13101004800.

The previous prime is 56073723529. The next prime is 56073723557. The reversal of 56073723552 is 25532737065.

56073723552 is a `hidden beast` number, since 5 + 6 + 0 + 73 + 7 + 23 + 552 = 666.

It is a super-2 number, since 2×56073723552² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56073723498 and 56073723507.

It is not an unprimeable number, because it can be changed into a prime (56073723557) 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, 1057994758 + ... + 1057994810.

It is an arithmetic number, because the mean of its divisors is an integer number (169983360).

Almost surely, 2^56073723552 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 56073723552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114228817920).

56073723552 is an abundant number, since it is smaller than the sum of its proper divisors (172383912288).

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

56073723552 is a wasteful number, since it uses less digits than its factorization.

56073723552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 56073723552 in words is "fifty-six billion, seventy-three million, seven hundred twenty-three thousand, five hundred fifty-two".