15768442800 has 480 divisors, whose sum is σ = 61564273920. Its totient is φ = 3801600000.

The previous prime is 15768442793. The next prime is 15768442849. The reversal of 15768442800 is 824486751.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39322600 + ... + 39323000.

It is an arithmetic number, because the mean of its divisors is an integer number (128258904).

Almost surely, 2^15768442800 is an apocalyptic number.

15768442800 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 15768442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30782136960).

15768442800 is an abundant number, since it is smaller than the sum of its proper divisors (45795831120).

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

15768442800 is a wasteful number, since it uses less digits than its factorization.

15768442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 15768442800 in words is "fifteen billion, seven hundred sixty-eight million, four hundred forty-two thousand, eight hundred".