5266598400 has 720 divisors, whose sum is σ = 22559359680. Its totient is φ = 1199923200.

The previous prime is 5266598377. The next prime is 5266598417. The reversal of 5266598400 is 48956625.

5266598400 is a `hidden beast` number, since 52 + 6 + 6 + 598 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16934245 + ... + 16934555.

It is an arithmetic number, because the mean of its divisors is an integer number (31332444).

Almost surely, 2^5266598400 is an apocalyptic number.

5266598400 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 5266598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279679840).

5266598400 is an abundant number, since it is smaller than the sum of its proper divisors (17292761280).

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

5266598400 is a wasteful number, since it uses less digits than its factorization.

5266598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5266598400 is about 72571.3331832894. Note that the first 3 decimals coincide. The cubic root of 5266598400 is about 1739.8430298350.

The spelling of 5266598400 in words is "five billion, two hundred sixty-six million, five hundred ninety-eight thousand, four hundred".