51278014431360 has 2048 divisors, whose sum is σ = 207949648896000. Its totient is φ = 12018418384896.

The previous prime is 51278014431323. The next prime is 51278014431361. The reversal of 51278014431360 is 6313441087215.

51278014431360 is a `hidden beast` number, since 5 + 1 + 2 + 78 + 0 + 1 + 443 + 136 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51278014431361) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23532818751 + ... + 23532820929.

It is an arithmetic number, because the mean of its divisors is an integer number (101537914500).

Almost surely, 2^{51278014431360} 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 51278014431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103974824448000).

51278014431360 is an abundant number, since it is smaller than the sum of its proper divisors (156671634464640).

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

51278014431360 is a wasteful number, since it uses less digits than its factorization.

51278014431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 51278014431360 in words is "fifty-one trillion, two hundred seventy-eight billion, fourteen million, four hundred thirty-one thousand, three hundred sixty".