253402400000 has 108 divisors (see below), whose sum is σ = 632230214364. Its totient is φ = 101360640000.

The previous prime is 253402399963. The next prime is 253402400023. The reversal of 253402400000 is 4204352.

It can be written as a sum of positive squares in 6 ways, for example, as 182527181824 + 70875218176 = 427232^2 + 266224^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 641624 + ... + 958376.

Almost surely, 2^253402400000 is an apocalyptic number.

253402400000 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 253402400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316115107182).

253402400000 is an abundant number, since it is smaller than the sum of its proper divisors (378827814364).

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

253402400000 is an frugal number, since it uses more digits than its factorization.

253402400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316794 (or 316760 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 253402400000 its reverse (4204352), we get a palindrome (253406604352).

The spelling of 253402400000 in words is "two hundred fifty-three billion, four hundred two million, four hundred thousand".