51761449958400 has 3960 divisors, whose sum is σ = 242640327837600. Its totient is φ = 10806554787840.

The previous prime is 51761449958369. The next prime is 51761449958453. The reversal of 51761449958400 is 485994416715.

51761449958400 is a `hidden beast` number, since 5 + 1 + 7 + 6 + 1 + 4 + 49 + 9 + 584 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 196811596669 + ... + 196811596931.

It is an arithmetic number, because the mean of its divisors is an integer number (61272810060).

Almost surely, 2^{51761449958400} is an apocalyptic number.

51761449958400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51761449958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121320163918800).

51761449958400 is an abundant number, since it is smaller than the sum of its proper divisors (190878877879200).

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

51761449958400 is a wasteful number, since it uses less digits than its factorization.

51761449958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 51761449958400 in words is "fifty-one trillion, seven hundred sixty-one billion, four hundred forty-nine million, nine hundred fifty-eight thousand, four hundred".