5125982400 has 1344 divisors, whose sum is σ = 24672706560. Its totient is φ = 1003622400.

The previous prime is 5125982383. The next prime is 5125982413. The reversal of 5125982400 is 42895215.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 76507167 + ... + 76507233.

Almost surely, 2^5125982400 is an apocalyptic number.

5125982400 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 5125982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12336353280).

5125982400 is an abundant number, since it is smaller than the sum of its proper divisors (19546724160).

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

5125982400 is a wasteful number, since it uses less digits than its factorization.

5125982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5125982400 is about 71595.9663668282. The cubic root of 5125982400 is about 1724.2187766854.

The spelling of 5125982400 in words is "five billion, one hundred twenty-five million, nine hundred eighty-two thousand, four hundred".