51403900596048 has 1920 divisors, whose sum is σ = 210248623226880. Its totient is φ = 11600547840000.

The previous prime is 51403900595963. The next prime is 51403900596089. The reversal of 51403900596048 is 84069500930415.

51403900596048 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 3 + 9 + 0 + 0 + 596 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 51403900595985 and 51403900596003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18351980248 + ... + 18351983048.

It is an arithmetic number, because the mean of its divisors is an integer number (109504491264).

Almost surely, 2^{51403900596048} 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 51403900596048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105124311613440).

51403900596048 is an abundant number, since it is smaller than the sum of its proper divisors (158844722630832).

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

51403900596048 is a wasteful number, since it uses less digits than its factorization.

51403900596048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 51403900596048 in words is "fifty-one trillion, four hundred three billion, nine hundred million, five hundred ninety-six thousand, forty-eight".