5076058291200 has 792 divisors, whose sum is σ = 20248011856800. Its totient is φ = 1206384721920.

The previous prime is 5076058291193. The next prime is 5076058291211. The reversal of 5076058291200 is 21928506705.

5076058291200 is a `hidden beast` number, since 5 + 0 + 7 + 60 + 582 + 9 + 1 + 2 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 86831581 + ... + 86890019.

Almost surely, 2^{5076058291200} is an apocalyptic number.

5076058291200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5076058291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124005928400).

5076058291200 is an abundant number, since it is smaller than the sum of its proper divisors (15171953565600).

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

5076058291200 is a wasteful number, since it uses less digits than its factorization.

5076058291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58517 (or 58491 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 5076058291200 in words is "five trillion, seventy-six billion, fifty-eight million, two hundred ninety-one thousand, two hundred".