51076292625600 has 336 divisors, whose sum is σ = 183056228532480. Its totient is φ = 12365229772800.

The previous prime is 51076292625599. The next prime is 51076292625647. The reversal of 51076292625600 is 652629267015.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38042541 + ... + 39362259.

Almost surely, 2^{51076292625600} is an apocalyptic number.

51076292625600 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 51076292625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91528114266240).

51076292625600 is an abundant number, since it is smaller than the sum of its proper divisors (131979935906880).

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

51076292625600 is a wasteful number, since it uses less digits than its factorization.

51076292625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320488 (or 1320473 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 51076292625600 in words is "fifty-one trillion, seventy-six billion, two hundred ninety-two million, six hundred twenty-five thousand, six hundred".