15401601600 has 504 divisors, whose sum is σ = 64134296928. Its totient is φ = 3199795200.

The previous prime is 15401601599. The next prime is 15401601613. The reversal of 15401601600 is 610610451.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2584224 + ... + 2590176.

Almost surely, 2^15401601600 is an apocalyptic number.

15401601600 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 15401601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32067148464).

15401601600 is an abundant number, since it is smaller than the sum of its proper divisors (48732695328).

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

15401601600 is a wasteful number, since it uses less digits than its factorization.

15401601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 15401601600 in words is "fifteen billion, four hundred one million, six hundred one thousand, six hundred".