15345820800 has 288 divisors, whose sum is σ = 57140628480. Its totient is φ = 3914127360.

The previous prime is 15345820783. The next prime is 15345820811. The reversal of 15345820800 is 802854351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 650817 + ... + 673983.

It is an arithmetic number, because the mean of its divisors is an integer number (198404960).

Almost surely, 2^15345820800 is an apocalyptic number.

15345820800 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 15345820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28570314240).

15345820800 is an abundant number, since it is smaller than the sum of its proper divisors (41794807680).

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

15345820800 is a wasteful number, since it uses less digits than its factorization.

15345820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23220 (or 23200 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 15345820800 in words is "fifteen billion, three hundred forty-five million, eight hundred twenty thousand, eight hundred".