5070124800 has 864 divisors, whose sum is σ = 20899981760. Its totient is φ = 1194393600.

The previous prime is 5070124769. The next prime is 5070124817. The reversal of 5070124800 is 84210705.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83116770 + ... + 83116830.

Almost surely, 2^5070124800 is an apocalyptic number.

5070124800 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 5070124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10449990880).

5070124800 is an abundant number, since it is smaller than the sum of its proper divisors (15829856960).

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

5070124800 is a wasteful number, since it uses less digits than its factorization.

5070124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5070124800 is about 71204.8088263707. The cubic root of 5070124800 is about 1717.9329775452.

The spelling of 5070124800 in words is "five billion, seventy million, one hundred twenty-four thousand, eight hundred".