1516748800 has 270 divisors, whose sum is σ = 4493797448. Its totient is φ = 497418240.

The previous prime is 1516748791. The next prime is 1516748801. The reversal of 1516748800 is 88476151.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516748801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65945589 + ... + 65945611.

Almost surely, 2^1516748800 is an apocalyptic number.

1516748800 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 1516748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246898724).

1516748800 is an abundant number, since it is smaller than the sum of its proper divisors (2977048648).

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

1516748800 is an frugal number, since it uses more digits than its factorization.

1516748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 1516748800 is about 38945.4592988708. The cubic root of 1516748800 is about 1148.9590580581.

The spelling of 1516748800 in words is "one billion, five hundred sixteen million, seven hundred forty-eight thousand, eight hundred".