5153792871264 has 96 divisors (see below), whose sum is σ = 13992883881984. Its totient is φ = 1659208151040.

The previous prime is 5153792871257. The next prime is 5153792871281. The reversal of 5153792871264 is 4621782973515.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5153792871198 and 5153792871207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224529 + ... + 3218384.

It is an arithmetic number, because the mean of its divisors is an integer number (145759207104).

Almost surely, 2^{5153792871264} 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 5153792871264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996441940992).

5153792871264 is an abundant number, since it is smaller than the sum of its proper divisors (8839091010720).

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

5153792871264 is a wasteful number, since it uses less digits than its factorization.

5153792871264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443460 (or 3443452 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 60.

The spelling of 5153792871264 in words is "five trillion, one hundred fifty-three billion, seven hundred ninety-two million, eight hundred seventy-one thousand, two hundred sixty-four".