51293075961600 has 1296 divisors, whose sum is σ = 209423304050688. Its totient is φ = 11863756800000.

The previous prime is 51293075961587. The next prime is 51293075961641. The reversal of 51293075961600 is 616957039215.

51293075961600 is a `hidden beast` number, since 5 + 1 + 2 + 9 + 30 + 7 + 596 + 16 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1394535210 + ... + 1394571990.

Almost surely, 2^{51293075961600} is an apocalyptic number.

51293075961600 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 51293075961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104711652025344).

51293075961600 is an abundant number, since it is smaller than the sum of its proper divisors (158130228089088).

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

51293075961600 is a wasteful number, since it uses less digits than its factorization.

51293075961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36926 (or 36904 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 51293075961600 in words is "fifty-one trillion, two hundred ninety-three billion, seventy-five million, nine hundred sixty-one thousand, six hundred".