253818974822400 has 2520 divisors, whose sum is σ = 1034520663080520. Its totient is φ = 61153376993280.

The previous prime is 253818974822381. The next prime is 253818974822401. The reversal of 253818974822400 is 4228479818352.

253818974822400 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 1 + 89 + 74 + 82 + 2 + 400 = 666.

It is a super-2 number, since 2×253818974822400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253818974822401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 605773209391 + ... + 605773209809.

It is an arithmetic number, because the mean of its divisors is an integer number (410524072651).

Almost surely, 2^{253818974822400} is an apocalyptic number.

253818974822400 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 253818974822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517260331540260).

253818974822400 is an abundant number, since it is smaller than the sum of its proper divisors (780701688258120).

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

253818974822400 is an equidigital number, since it uses as much as digits as its factorization.

253818974822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 253818974822400 in words is "two hundred fifty-three trillion, eight hundred eighteen billion, nine hundred seventy-four million, eight hundred twenty-two thousand, four hundred".