4957763160000 has 1120 divisors, whose sum is σ = 19950393830400. Its totient is φ = 1083726336000.

The previous prime is 4957763159917. The next prime is 4957763160013. The reversal of 4957763160000 is 613677594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 946677382 + ... + 946682618.

Almost surely, 2^{4957763160000} is an apocalyptic number.

4957763160000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4957763160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9975196915200).

4957763160000 is an abundant number, since it is smaller than the sum of its proper divisors (14992630670400).

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

4957763160000 is an equidigital number, since it uses as much as digits as its factorization.

4957763160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 4957763160000 in words is "four trillion, nine hundred fifty-seven billion, seven hundred sixty-three million, one hundred sixty thousand".