13875302400 has 468 divisors, whose sum is σ = 48411562176. Its totient is φ = 3504537600.

The previous prime is 13875302383. The next prime is 13875302407. The reversal of 13875302400 is 420357831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13875302407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295219177 + ... + 295219223.

Almost surely, 2^13875302400 is an apocalyptic number.

13875302400 is a gapful number since it is divisible by the number (10) 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 13875302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24205781088).

13875302400 is an abundant number, since it is smaller than the sum of its proper divisors (34536259776).

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

13875302400 is an equidigital number, since it uses as much as digits as its factorization.

13875302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 13875302400 in words is "thirteen billion, eight hundred seventy-five million, three hundred two thousand, four hundred".