51375457854 has 288 divisors, whose sum is σ = 140235114240. Its totient is φ = 13277364480.

The previous prime is 51375457843. The next prime is 51375457871. The reversal of 51375457854 is 45875457315.

51375457854 is a `hidden beast` number, since 5 + 13 + 7 + 5 + 4 + 578 + 54 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 51375457854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315186777 + ... + 315186939.

It is an arithmetic number, because the mean of its divisors is an integer number (486927480).

Almost surely, 2^51375457854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51375457854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70117557120).

51375457854 is an abundant number, since it is smaller than the sum of its proper divisors (88859656386).

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

51375457854 is a wasteful number, since it uses less digits than its factorization.

51375457854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 362 counting only the distinct ones).

The product of its digits is 11760000, while the sum is 54.

The spelling of 51375457854 in words is "fifty-one billion, three hundred seventy-five million, four hundred fifty-seven thousand, eight hundred fifty-four".