56101737780 has 192 divisors, whose sum is σ = 190826496000. Its totient is φ = 13570381440.

The previous prime is 56101737761. The next prime is 56101737781. The reversal of 56101737780 is 8773710165.

56101737780 is a `hidden beast` number, since 561 + 0 + 1 + 7 + 3 + 7 + 7 + 80 = 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 (56101737781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2740021 + ... + 2760419.

It is an arithmetic number, because the mean of its divisors is an integer number (993888000).

Almost surely, 2^56101737780 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 56101737780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95413248000).

56101737780 is an abundant number, since it is smaller than the sum of its proper divisors (134724758220).

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

56101737780 is a wasteful number, since it uses less digits than its factorization.

56101737780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20891 (or 20883 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

It can be divided in two parts, 56101 and 737780, that added together give a square (793881 = 891²).

The spelling of 56101737780 in words is "fifty-six billion, one hundred one million, seven hundred thirty-seven thousand, seven hundred eighty".