253533154400 has 72 divisors (see below), whose sum is σ = 619506224064. Its totient is φ = 101320128000.

The previous prime is 253533154397. The next prime is 253533154403. The reversal of 253533154400 is 4451335352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253533154397) and next prime (253533154403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253533154403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 729425 + ... + 1019375.

It is an arithmetic number, because the mean of its divisors is an integer number (8604253112).

Almost surely, 2^253533154400 is an apocalyptic number.

253533154400 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 253533154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309753112032).

253533154400 is an abundant number, since it is smaller than the sum of its proper divisors (365973069664).

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

253533154400 is a wasteful number, since it uses less digits than its factorization.

253533154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291064 (or 291051 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 253533154400 its reverse (4451335352), we get a palindrome (257984489752).

The spelling of 253533154400 in words is "two hundred fifty-three billion, five hundred thirty-three million, one hundred fifty-four thousand, four hundred".