51456746880 has 768 divisors, whose sum is σ = 229789647360. Its totient is φ = 10689822720.

The previous prime is 51456746879. The next prime is 51456746881. The reversal of 51456746880 is 8864765415.

51456746880 is a `hidden beast` number, since 5 + 1 + 45 + 67 + 468 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (51456746879) and next prime (51456746881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51456746881) 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 95 ways as a sum of consecutive naturals, for example, 11972892 + ... + 11977188.

It is an arithmetic number, because the mean of its divisors is an integer number (299205270).

Almost surely, 2^51456746880 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 51456746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114894823680).

51456746880 is an abundant number, since it is smaller than the sum of its proper divisors (178332900480).

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

51456746880 is a wasteful number, since it uses less digits than its factorization.

51456746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 51456746880 in words is "fifty-one billion, four hundred fifty-six million, seven hundred forty-six thousand, eight hundred eighty".