51249286656 has 320 divisors, whose sum is σ = 154677600000. Its totient is φ = 16752254976.

The previous prime is 51249286639. The next prime is 51249286687. The reversal of 51249286656 is 65668294215.

51249286656 is a `hidden beast` number, since 5 + 12 + 492 + 86 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286308775 + ... + 286308953.

It is an arithmetic number, because the mean of its divisors is an integer number (483367500).

Almost surely, 2^51249286656 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 51249286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77338800000).

51249286656 is an abundant number, since it is smaller than the sum of its proper divisors (103428313344).

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

51249286656 is a wasteful number, since it uses less digits than its factorization.

51249286656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 472 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 51249286656 in words is "fifty-one billion, two hundred forty-nine million, two hundred eighty-six thousand, six hundred fifty-six".