15342220800 has 480 divisors, whose sum is σ = 56992066560. Its totient is φ = 4042137600.

The previous prime is 15342220793. The next prime is 15342220919. The reversal of 15342220800 is 802224351.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35596585 + ... + 35597015.

It is an arithmetic number, because the mean of its divisors is an integer number (118733472).

Almost surely, 2^15342220800 is an apocalyptic number.

15342220800 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 15342220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28496033280).

15342220800 is an abundant number, since it is smaller than the sum of its proper divisors (41649845760).

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

15342220800 is a wasteful number, since it uses less digits than its factorization.

15342220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 15342220800 in words is "fifteen billion, three hundred forty-two million, two hundred twenty thousand, eight hundred".