51466549938048 has 640 divisors, whose sum is σ = 176600512915200. Its totient is φ = 14574269399040.

The previous prime is 51466549938029. The next prime is 51466549938073. The reversal of 51466549938048 is 84083994566415.

51466549938048 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 6 + 549 + 9 + 38 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8832423711 + ... + 8832429537.

It is an arithmetic number, because the mean of its divisors is an integer number (275938301430).

Almost surely, 2^{51466549938048} 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 51466549938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300256457600).

51466549938048 is an abundant number, since it is smaller than the sum of its proper divisors (125133962977152).

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

51466549938048 is a wasteful number, since it uses less digits than its factorization.

51466549938048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6920 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 51466549938048 in words is "fifty-one trillion, four hundred sixty-six billion, five hundred forty-nine million, nine hundred thirty-eight thousand, forty-eight".