253228550400 has 972 divisors, whose sum is σ = 1092495982032. Its totient is φ = 57863393280.

The previous prime is 253228550389. The next prime is 253228550413. The reversal of 253228550400 is 4055822352.

It is a happy number.

253228550400 is a `hidden beast` number, since 2 + 53 + 22 + 85 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 76203139 + ... + 76206461.

Almost surely, 2^253228550400 is an apocalyptic number.

253228550400 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 253228550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546247991016).

253228550400 is an abundant number, since it is smaller than the sum of its proper divisors (839267431632).

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

253228550400 is an equidigital number, since it uses as much as digits as its factorization.

253228550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 253228550400 in words is "two hundred fifty-three billion, two hundred twenty-eight million, five hundred fifty thousand, four hundred".