51656289600 has 168 divisors, whose sum is σ = 170091880288. Its totient is φ = 13724928000.

The previous prime is 51656289523. The next prime is 51656289631. The reversal of 51656289600 is 698265615.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51656289600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1310175 + ... + 1349025.

Almost surely, 2^51656289600 is an apocalyptic number.

51656289600 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 51656289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85045940144).

51656289600 is an abundant number, since it is smaller than the sum of its proper divisors (118435590688).

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

51656289600 is a wasteful number, since it uses less digits than its factorization.

51656289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39153 (or 39138 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 51656289600 in words is "fifty-one billion, six hundred fifty-six million, two hundred eighty-nine thousand, six hundred".