5117953211280 has 1920 divisors, whose sum is σ = 23050084700160. Its totient is φ = 1033389342720.

The previous prime is 5117953211279. The next prime is 5117953211309. The reversal of 5117953211280 is 821123597115.

5117953211280 is a `hidden beast` number, since 5 + 11 + 79 + 532 + 11 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4137390822 + ... + 4137392058.

It is an arithmetic number, because the mean of its divisors is an integer number (12005252448).

Almost surely, 2^{5117953211280} 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 5117953211280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525042350080).

5117953211280 is an abundant number, since it is smaller than the sum of its proper divisors (17932131488880).

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

5117953211280 is a wasteful number, since it uses less digits than its factorization.

5117953211280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 5117953211280 in words is "five trillion, one hundred seventeen billion, nine hundred fifty-three million, two hundred eleven thousand, two hundred eighty".