51933621487440 has 320 divisors, whose sum is σ = 200831037990912. Its totient is φ = 10785436108800.

The previous prime is 51933621487381. The next prime is 51933621487487. The reversal of 51933621487440 is 4478412633915.

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, 32691394 + ... + 34243166.

It is a 1-persistent number, because it is pandigital, but 2⋅51933621487440 = 103867242974880 is not.

Almost surely, 2^{51933621487440} 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 51933621487440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100415518995456).

51933621487440 is an abundant number, since it is smaller than the sum of its proper divisors (148897416503472).

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

51933621487440 is a wasteful number, since it uses less digits than its factorization.

51933621487440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553618 (or 1553612 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 51933621487440 in words is "fifty-one trillion, nine hundred thirty-three billion, six hundred twenty-one million, four hundred eighty-seven thousand, four hundred forty".