51104601363256 has 192 divisors, whose sum is σ = 122637960057600. Its totient is φ = 19486814782464.

The previous prime is 51104601363247. The next prime is 51104601363259. The reversal of 51104601363256 is 65236310640115.

It is a super-2 number, since 2×51104601363256² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51104601363259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160335615 + ... + 160654033.

It is an arithmetic number, because the mean of its divisors is an integer number (638739375300).

Almost surely, 2^{51104601363256} is an apocalyptic number.

51104601363256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51104601363256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61318980028800).

51104601363256 is an abundant number, since it is smaller than the sum of its proper divisors (71533358694344).

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

51104601363256 is a wasteful number, since it uses less digits than its factorization.

51104601363256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318954 (or 318931 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 51104601363256 in words is "fifty-one trillion, one hundred four billion, six hundred one million, three hundred sixty-three thousand, two hundred fifty-six".