51122902656 has 384 divisors, whose sum is σ = 168372509760. Its totient is φ = 13655900160.

The previous prime is 51122902643. The next prime is 51122902661. The reversal of 51122902656 is 65620922115.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×51122902656² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57896391 + ... + 57897273.

Almost surely, 2^51122902656 is an apocalyptic number.

51122902656 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 51122902656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84186254880).

51122902656 is an abundant number, since it is smaller than the sum of its proper divisors (117249607104).

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

51122902656 is a wasteful number, since it uses less digits than its factorization.

51122902656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 51122902656 in words is "fifty-one billion, one hundred twenty-two million, nine hundred two thousand, six hundred fifty-six".