5058460800 has 384 divisors, whose sum is σ = 18698803200. Its totient is φ = 1335398400.

The previous prime is 5058460787. The next prime is 5058460811. The reversal of 5058460800 is 80648505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10972570 + ... + 10973030.

It is an arithmetic number, because the mean of its divisors is an integer number (48694800).

Almost surely, 2^5058460800 is an apocalyptic number.

5058460800 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 5058460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9349401600).

5058460800 is an abundant number, since it is smaller than the sum of its proper divisors (13640342400).

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

5058460800 is a wasteful number, since it uses less digits than its factorization.

5058460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5058460800 is about 71122.8570854687. The cubic root of 5058460800 is about 1716.6145776551.

The spelling of 5058460800 in words is "five billion, fifty-eight million, four hundred sixty thousand, eight hundred".