253632260000 has 480 divisors, whose sum is σ = 743949360000. Its totient is φ = 83252736000.

The previous prime is 253632259981. The next prime is 253632260027. The reversal of 253632260000 is 62236352.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 726739826 + ... + 726740174.

It is an arithmetic number, because the mean of its divisors is an integer number (1549894500).

Almost surely, 2^253632260000 is an apocalyptic number.

253632260000 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 253632260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371974680000).

253632260000 is an abundant number, since it is smaller than the sum of its proper divisors (490317100000).

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

253632260000 is a wasteful number, since it uses less digits than its factorization.

253632260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 253632260000 its reverse (62236352), we get a palindrome (253694496352).

The spelling of 253632260000 in words is "two hundred fifty-three billion, six hundred thirty-two million, two hundred sixty thousand".