51057856120320 has 2880 divisors, whose sum is σ = 234367004551680. Its totient is φ = 10572676595712.

The previous prime is 51057856120307. The next prime is 51057856120379. The reversal of 51057856120320 is 2302165875015.

51057856120320 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 7 + 8 + 5 + 612 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×51057856120320³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13320597124 + ... + 13320600956.

It is an arithmetic number, because the mean of its divisors is an integer number (81377432136).

Almost surely, 2^{51057856120320} 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 51057856120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117183502275840).

51057856120320 is an abundant number, since it is smaller than the sum of its proper divisors (183309148431360).

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

51057856120320 is a wasteful number, since it uses less digits than its factorization.

51057856120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 51057856120320 in words is "fifty-one trillion, fifty-seven billion, eight hundred fifty-six million, one hundred twenty thousand, three hundred twenty".