51689971200 has 960 divisors, whose sum is σ = 213111360000. Its totient is φ = 10776084480.

The previous prime is 51689971133. The next prime is 51689971217. The reversal of 51689971200 is 217998615.

It is a tau number, because it is divible by the number of its divisors (960).

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 51689971200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148108626 + ... + 148108974.

It is an arithmetic number, because the mean of its divisors is an integer number (221991000).

Almost surely, 2^51689971200 is an apocalyptic number.

51689971200 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 51689971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680000).

51689971200 is an abundant number, since it is smaller than the sum of its proper divisors (161421388800).

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

51689971200 is a wasteful number, since it uses less digits than its factorization.

51689971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 51689971200 in words is "fifty-one billion, six hundred eighty-nine million, nine hundred seventy-one thousand, two hundred".