51725205504 has 504 divisors, whose sum is σ = 183207111360. Its totient is φ = 14269022208.

The previous prime is 51725205473. The next prime is 51725205509. The reversal of 51725205504 is 40550252715.

51725205504 is a `hidden beast` number, since 51 + 7 + 2 + 52 + 0 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51725205509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1783627762 + ... + 1783627790.

Almost surely, 2^51725205504 is an apocalyptic number.

51725205504 is a gapful number since it is divisible by the number (54) 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 51725205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91603555680).

51725205504 is an abundant number, since it is smaller than the sum of its proper divisors (131481905856).

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

51725205504 is an frugal number, since it uses more digits than its factorization.

51725205504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The spelling of 51725205504 in words is "fifty-one billion, seven hundred twenty-five million, two hundred five thousand, five hundred four".