5182134312960 has 896 divisors, whose sum is σ = 20974182405120. Its totient is φ = 1201589452800.

The previous prime is 5182134312881. The next prime is 5182134313049. The reversal of 5182134312960 is 692134312815.

5182134312960 is a `hidden beast` number, since 5 + 18 + 2 + 1 + 343 + 1 + 296 + 0 = 666.

It is a super-2 number, since 2×5182134312960² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279788500 + ... + 279807020.

It is an arithmetic number, because the mean of its divisors is an integer number (23408685720).

Almost surely, 2^{5182134312960} 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 5182134312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10487091202560).

5182134312960 is an abundant number, since it is smaller than the sum of its proper divisors (15792048092160).

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

5182134312960 is a wasteful number, since it uses less digits than its factorization.

5182134312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18595 (or 18565 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 5182134312960 in words is "five trillion, one hundred eighty-two billion, one hundred thirty-four million, three hundred twelve thousand, nine hundred sixty".