15413250400 has 72 divisors (see below), whose sum is σ = 37915088904. Its totient is φ = 6118195200.

The previous prime is 15413250389. The next prime is 15413250401. The reversal of 15413250400 is 405231451.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15413250401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31264 + ... + 178336.

It is an arithmetic number, because the mean of its divisors is an integer number (526598457).

Almost surely, 2^15413250400 is an apocalyptic number.

15413250400 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 15413250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957544452).

15413250400 is an abundant number, since it is smaller than the sum of its proper divisors (22501838504).

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

15413250400 is a wasteful number, since it uses less digits than its factorization.

15413250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147224 (or 147211 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 15413250400 its reverse (405231451), we get a palindrome (15818481851).

The spelling of 15413250400 in words is "fifteen billion, four hundred thirteen million, two hundred fifty thousand, four hundred".