5299862400 has 960 divisors, whose sum is σ = 23507066880. Its totient is φ = 1149603840.

The previous prime is 5299862369. The next prime is 5299862437. The reversal of 5299862400 is 42689925.

5299862400 is a `hidden beast` number, since 529 + 9 + 86 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41731137 + ... + 41731263.

It is an arithmetic number, because the mean of its divisors is an integer number (24486528).

Almost surely, 2^5299862400 is an apocalyptic number.

5299862400 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 5299862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11753533440).

5299862400 is an abundant number, since it is smaller than the sum of its proper divisors (18207204480).

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

5299862400 is a wasteful number, since it uses less digits than its factorization.

5299862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5299862400 is about 72800.1538459913. The cubic root of 5299862400 is about 1743.4983126161.

The spelling of 5299862400 in words is "five billion, two hundred ninety-nine million, eight hundred sixty-two thousand, four hundred".