5058412262400 has 528 divisors, whose sum is σ = 19467259265664. Its totient is φ = 1134386872320.

The previous prime is 5058412262389. The next prime is 5058412262419. The reversal of 5058412262400 is 42622148505.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28404034 + ... + 28581566.

Almost surely, 2^{5058412262400} is an apocalyptic number.

5058412262400 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 5058412262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9733629632832).

5058412262400 is an abundant number, since it is smaller than the sum of its proper divisors (14408847003264).

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

5058412262400 is a wasteful number, since it uses less digits than its factorization.

5058412262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177626 (or 177603 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 5058412262400 in words is "five trillion, fifty-eight billion, four hundred twelve million, two hundred sixty-two thousand, four hundred".