5149286400 has 504 divisors, whose sum is σ = 18710041320. Its totient is φ = 1247805440.

The previous prime is 5149286357. The next prime is 5149286413. The reversal of 5149286400 is 46829415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177561586 + ... + 177561614.

Almost surely, 2^5149286400 is an apocalyptic number.

5149286400 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 5149286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9355020660).

5149286400 is an abundant number, since it is smaller than the sum of its proper divisors (13560754920).

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

5149286400 is a wasteful number, since it uses less digits than its factorization.

5149286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 5149286400 is about 71758.5284130047. The cubic root of 5149286400 is about 1726.8277371610.

The spelling of 5149286400 in words is "five billion, one hundred forty-nine million, two hundred eighty-six thousand, four hundred".