15205342000 has 160 divisors (see below), whose sum is σ = 38037190464. Its totient is φ = 5874944000.

The previous prime is 15205341997. The next prime is 15205342043. The reversal of 15205342000 is 24350251.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8773134 + ... + 8774866.

Almost surely, 2^15205342000 is an apocalyptic number.

15205342000 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 15205342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19018595232).

15205342000 is an abundant number, since it is smaller than the sum of its proper divisors (22831848464).

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

15205342000 is a wasteful number, since it uses less digits than its factorization.

15205342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 15205342000 its reverse (24350251), we get a palindrome (15229692251).

The spelling of 15205342000 in words is "fifteen billion, two hundred five million, three hundred forty-two thousand".