5757403846656 has 192 divisors, whose sum is σ = 19136826858240. Its totient is φ = 1495429447680.

The previous prime is 5757403846651. The next prime is 5757403846657. The reversal of 5757403846656 is 6566483047575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757403846651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5611831 + ... + 6558006.

It is an arithmetic number, because the mean of its divisors is an integer number (99670973220).

Almost surely, 2^{5757403846656} is an apocalyptic number.

5757403846656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5757403846656 is an abundant number, since it is smaller than the sum of its proper divisors (13379423011584).

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

5757403846656 is a wasteful number, since it uses less digits than its factorization.

5757403846656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12169880 (or 12169860 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 66.

The spelling of 5757403846656 in words is "five trillion, seven hundred fifty-seven billion, four hundred three million, eight hundred forty-six thousand, six hundred fifty-six".