15401608800 has 144 divisors (see below), whose sum is σ = 50176788480. Its totient is φ = 4103447040.

The previous prime is 15401608777. The next prime is 15401608801. The reversal of 15401608800 is 880610451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15401608801) 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, 3701121 + ... + 3705279.

It is an arithmetic number, because the mean of its divisors is an integer number (348449920).

Almost surely, 2^15401608800 is an apocalyptic number.

15401608800 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 15401608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25088394240).

15401608800 is an abundant number, since it is smaller than the sum of its proper divisors (34775179680).

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

15401608800 is a wasteful number, since it uses less digits than its factorization.

15401608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 15401608800 in words is "fifteen billion, four hundred one million, six hundred eight thousand, eight hundred".