5156982119520 has 2304 divisors, whose sum is σ = 23693897170944. Its totient is φ = 1027924992000.

The previous prime is 5156982119501. The next prime is 5156982119521. The reversal of 5156982119520 is 259112896515.

5156982119520 is a `hidden beast` number, since 5 + 1 + 5 + 6 + 98 + 21 + 1 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5156982119521) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 16797987207 + ... + 16797987513.

It is an arithmetic number, because the mean of its divisors is an integer number (10283809536).

Almost surely, 2^{5156982119520} 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 5156982119520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11846948585472).

5156982119520 is an abundant number, since it is smaller than the sum of its proper divisors (18536915051424).

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

5156982119520 is a wasteful number, since it uses less digits than its factorization.

5156982119520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 5156982119520 in words is "five trillion, one hundred fifty-six billion, nine hundred eighty-two million, one hundred nineteen thousand, five hundred twenty".