5129781995520 has 3840 divisors, whose sum is σ = 24639975360000. Its totient is φ = 1011316948992.

The previous prime is 5129781995491. The next prime is 5129781995543. The reversal of 5129781995520 is 255991879215.

5129781995520 is a `hidden beast` number, since 5 + 1 + 2 + 9 + 7 + 8 + 19 + 95 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×5129781995520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 70270986204 + ... + 70270986276.

It is an arithmetic number, because the mean of its divisors is an integer number (6416660250).

Almost surely, 2^{5129781995520} 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 5129781995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319987680000).

5129781995520 is an abundant number, since it is smaller than the sum of its proper divisors (19510193364480).

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

5129781995520 is a wasteful number, since it uses less digits than its factorization.

5129781995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 63.

The spelling of 5129781995520 in words is "five trillion, one hundred twenty-nine billion, seven hundred eighty-one million, nine hundred ninety-five thousand, five hundred twenty".