5189072400 has 360 divisors, whose sum is σ = 18685530240. Its totient is φ = 1332495360.

The previous prime is 5189072377. The next prime is 5189072407. The reversal of 5189072400 is 42709815.

5189072400 is a `hidden beast` number, since 5 + 189 + 0 + 72 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5189072407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21711481 + ... + 21711719.

Almost surely, 2^5189072400 is an apocalyptic number.

5189072400 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 5189072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9342765120).

5189072400 is an abundant number, since it is smaller than the sum of its proper divisors (13496457840).

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

5189072400 is a wasteful number, since it uses less digits than its factorization.

5189072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5189072400 is about 72035.2163875420. The cubic root of 5189072400 is about 1731.2637808162.

The spelling of 5189072400 in words is "five billion, one hundred eighty-nine million, seventy-two thousand, four hundred".