51725375318400 has 384 divisors, whose sum is σ = 194740470812160. Its totient is φ = 11821037568000.

The previous prime is 51725375318339. The next prime is 51725375318431. The reversal of 51725375318400 is 481357352715.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440168452 + ... + 440285948.

It is an arithmetic number, because the mean of its divisors is an integer number (507136642740).

Almost surely, 2^{51725375318400} is an apocalyptic number.

51725375318400 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 51725375318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97370235406080).

51725375318400 is an abundant number, since it is smaller than the sum of its proper divisors (143015095493760).

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

51725375318400 is a wasteful number, since it uses less digits than its factorization.

51725375318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124082 (or 124065 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 51725375318400 in words is "fifty-one trillion, seven hundred twenty-five billion, three hundred seventy-five million, three hundred eighteen thousand, four hundred".