51056844767280 has 3200 divisors, whose sum is σ = 218873124366336. Its totient is φ = 10885703270400.

The previous prime is 51056844767153. The next prime is 51056844767321. The reversal of 51056844767280 is 8276744865015.

51056844767280 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 6 + 84 + 476 + 7 + 2 + 80 = 666.

It is an unprimeable number.

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 639 ways as a sum of consecutive naturals, for example, 136881621174 + ... + 136881621546.

Almost surely, 2^{51056844767280} 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 51056844767280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109436562183168).

51056844767280 is an abundant number, since it is smaller than the sum of its proper divisors (167816279599056).

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

51056844767280 is a wasteful number, since it uses less digits than its factorization.

51056844767280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 51056844767280 in words is "fifty-one trillion, fifty-six billion, eight hundred forty-four million, seven hundred sixty-seven thousand, two hundred eighty".