51125570496 has 672 divisors, whose sum is σ = 203405475840. Its totient is φ = 12253317120.

The previous prime is 51125570477. The next prime is 51125570591. The reversal of 51125570496 is 69407552115.

It is a happy number.

51125570496 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 557 + 0 + 4 + 96 = 666.

51125570496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×51125570496² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19025665 + ... + 19028351.

It is an arithmetic number, because the mean of its divisors is an integer number (302686720).

Almost surely, 2^51125570496 is an apocalyptic number.

51125570496 is a gapful number since it is divisible by the number (56) 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 51125570496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101702737920).

51125570496 is an abundant number, since it is smaller than the sum of its proper divisors (152279905344).

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

51125570496 is a wasteful number, since it uses less digits than its factorization.

51125570496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 51125570496 in words is "fifty-one billion, one hundred twenty-five million, five hundred seventy thousand, four hundred ninety-six".