5757652817280 has 3072 divisors, whose sum is σ = 28007386848000. Its totient is φ = 1102876508160.

The previous prime is 5757652817227. The next prime is 5757652817291. The reversal of 5757652817280 is 827182567575.

5757652817280 is a `hidden beast` number, since 5 + 7 + 5 + 76 + 5 + 281 + 7 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5426627950 + ... + 5426629010.

Almost surely, 2^{5757652817280} 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 5757652817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14003693424000).

5757652817280 is an abundant number, since it is smaller than the sum of its proper divisors (22249734030720).

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

5757652817280 is a wasteful number, since it uses less digits than its factorization.

5757652817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 65856000, while the sum is 63.

The spelling of 5757652817280 in words is "five trillion, seven hundred fifty-seven billion, six hundred fifty-two million, eight hundred seventeen thousand, two hundred eighty".