51006931200 has 540 divisors, whose sum is σ = 191806439748. Its totient is φ = 13370572800.

The previous prime is 51006931193. The next prime is 51006931211. The reversal of 51006931200 is 213960015.

It can be written as a sum of positive squares in 6 ways, for example, as 7047938304 + 43958992896 = 83952^2 + 209664^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31621594 + ... + 31623206.

Almost surely, 2^51006931200 is an apocalyptic number.

51006931200 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 51006931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95903219874).

51006931200 is an abundant number, since it is smaller than the sum of its proper divisors (140799508548).

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

51006931200 is a wasteful number, since it uses less digits than its factorization.

51006931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 51006931200 in words is "fifty-one billion, six million, nine hundred thirty-one thousand, two hundred".