5755763784960 has 2592 divisors, whose sum is σ = 25178679961344. Its totient is φ = 1254113280000.

The previous prime is 5755763784943. The next prime is 5755763784971. The reversal of 5755763784960 is 694873675575.

It is a happy number.

5755763784960 is a `hidden beast` number, since 5 + 7 + 5 + 5 + 7 + 63 + 78 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38117640885 + ... + 38117641035.

Almost surely, 2^{5755763784960} 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 5755763784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589339980672).

5755763784960 is an abundant number, since it is smaller than the sum of its proper divisors (19422916176384).

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

5755763784960 is a wasteful number, since it uses less digits than its factorization.

5755763784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1333584000, while the sum is 72.

The spelling of 5755763784960 in words is "five trillion, seven hundred fifty-five billion, seven hundred sixty-three million, seven hundred eighty-four thousand, nine hundred sixty".