15381398400 has 192 divisors, whose sum is σ = 50951203200. Its totient is φ = 4078336000.

The previous prime is 15381398369. The next prime is 15381398401. The reversal of 15381398400 is 489318351.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15381398401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1713925 + ... + 1722875.

It is an arithmetic number, because the mean of its divisors is an integer number (265370850).

Almost surely, 2^15381398400 is an apocalyptic number.

15381398400 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 15381398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25475601600).

15381398400 is an abundant number, since it is smaller than the sum of its proper divisors (35569804800).

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

15381398400 is a wasteful number, since it uses less digits than its factorization.

15381398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9157 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 15381398400 in words is "fifteen billion, three hundred eighty-one million, three hundred ninety-eight thousand, four hundred".