15104150400 has 192 divisors, whose sum is σ = 49919126400. Its totient is φ = 4014028800.

The previous prime is 15104150387. The next prime is 15104150407. The reversal of 15104150400 is 405140151.

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 (15104150407) 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, 2983071 + ... + 2988129.

It is an arithmetic number, because the mean of its divisors is an integer number (259995450).

Almost surely, 2^15104150400 is an apocalyptic number.

15104150400 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 15104150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24959563200).

15104150400 is an abundant number, since it is smaller than the sum of its proper divisors (34814976000).

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

15104150400 is a wasteful number, since it uses less digits than its factorization.

15104150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 15104150400 its reverse (405140151), we get a palindrome (15509290551).

The spelling of 15104150400 in words is "fifteen billion, one hundred four million, one hundred fifty thousand, four hundred".