5149372800 has 768 divisors, whose sum is σ = 20738672640. Its totient is φ = 1115136000.

The previous prime is 5149372763. The next prime is 5149372867. The reversal of 5149372800 is 82739415.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 166108785 + ... + 166108815.

It is an arithmetic number, because the mean of its divisors is an integer number (27003480).

Almost surely, 2^5149372800 is an apocalyptic number.

5149372800 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 5149372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369336320).

5149372800 is an abundant number, since it is smaller than the sum of its proper divisors (15589299840).

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

5149372800 is a wasteful number, since it uses less digits than its factorization.

5149372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 5149372800 is about 71759.1304295140. The cubic root of 5149372800 is about 1726.8373952684.

The spelling of 5149372800 in words is "five billion, one hundred forty-nine million, three hundred seventy-two thousand, eight hundred".