5972198400 has 891 divisors, whose sum is σ = 26002965261. Its totient is φ = 1305722880.

The previous prime is 5972198387. The next prime is 5972198429. The reversal of 5972198400 is 48912795.

The square root of 5972198400 is 77280.

It is a perfect power (a square), and thus also a powerful number.

5972198400 is a `hidden beast` number, since 59 + 7 + 2 + 198 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2149991424 + 3822206976 = 46368^2 + 61824^2 .

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 80 ways as a sum of consecutive naturals, for example, 259660789 + ... + 259660811.

Almost surely, 2^5972198400 is an apocalyptic number.

5972198400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5972198400 is the 77280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5972198400

5972198400 is an abundant number, since it is smaller than the sum of its proper divisors (20030766861).

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

5972198400 is a wasteful number, since it uses less digits than its factorization.

5972198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The cubic root of 5972198400 is about 1814.3096434199.

The spelling of 5972198400 in words is "five billion, nine hundred seventy-two million, one hundred ninety-eight thousand, four hundred".