51993313048320 has 576 divisors, whose sum is σ = 196717793771520. Its totient is φ = 11452660531200.

The previous prime is 51993313048319. The next prime is 51993313048363. The reversal of 51993313048320 is 2384031339915.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199023385 + ... + 199284455.

It is an arithmetic number, because the mean of its divisors is an integer number (341523947520).

Almost surely, 2^{51993313048320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51993313048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98358896885760).

51993313048320 is an abundant number, since it is smaller than the sum of its proper divisors (144724480723200).

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

51993313048320 is a wasteful number, since it uses less digits than its factorization.

51993313048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261372 (or 261358 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 51993313048320 in words is "fifty-one trillion, nine hundred ninety-three billion, three hundred thirteen million, forty-eight thousand, three hundred twenty".