51077978265600 has 2304 divisors, whose sum is σ = 233400061440000. Its totient is φ = 10756974182400.

The previous prime is 51077978265599. The next prime is 51077978265619. The reversal of 51077978265600 is 656287977015.

51077978265600 is a `hidden beast` number, since 5 + 10 + 7 + 7 + 9 + 7 + 8 + 2 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×51077978265600² (a number of 28 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 191 ways as a sum of consecutive naturals, for example, 3360606801 + ... + 3360621999.

It is an arithmetic number, because the mean of its divisors is an integer number (101302110000).

Almost surely, 2^{51077978265600} is an apocalyptic number.

51077978265600 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 51077978265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116700030720000).

51077978265600 is an abundant number, since it is smaller than the sum of its proper divisors (182322083174400).

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

51077978265600 is a wasteful number, since it uses less digits than its factorization.

51077978265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15281 (or 15250 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 51077978265600 in words is "fifty-one trillion, seventy-seven billion, nine hundred seventy-eight million, two hundred sixty-five thousand, six hundred".