56801002782736 has 135 divisors (see below), whose sum is σ = 117911698879429. Its totient is φ = 26501975547904.

The previous prime is 56801002782709. The next prime is 56801002782739. The reversal of 56801002782736 is 63728720010865.

The square root of 56801002782736 is 7536644.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 50695224336 + 56750307558400 = 225156^2 + 7533280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56801002782739) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70211375100 + ... + 70211375908.

Almost surely, 2^{56801002782736} is an apocalyptic number.

56801002782736 is the 7536644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56801002782736

56801002782736 is an abundant number, since it is smaller than the sum of its proper divisors (61110696096693).

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

56801002782736 is an frugal number, since it uses more digits than its factorization.

56801002782736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 56801002782736 in words is "fifty-six trillion, eight hundred one billion, two million, seven hundred eighty-two thousand, seven hundred thirty-six".