253298401200 has 720 divisors, whose sum is σ = 1004749025280. Its totient is φ = 58577541120.

The previous prime is 253298401189. The next prime is 253298401207. The reversal of 253298401200 is 2104892352.

It is a happy number.

253298401200 is a `hidden beast` number, since 25 + 3 + 29 + 8 + 401 + 200 = 666.

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

It is a super-2 number, since 2×253298401200² (a number of 24 digits) contains 22 as substring.

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 (253298401207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112927279 + ... + 112929521.

Almost surely, 2^253298401200 is an apocalyptic number.

253298401200 is a gapful number since it is divisible by the number (20) 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 253298401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502374512640).

253298401200 is an abundant number, since it is smaller than the sum of its proper divisors (751450624080).

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

253298401200 is a wasteful number, since it uses less digits than its factorization.

253298401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 253298401200 in words is "two hundred fifty-three billion, two hundred ninety-eight million, four hundred one thousand, two hundred".