1516372878720 has 768 divisors, whose sum is σ = 5933014905600. Its totient is φ = 327552712704.

The previous prime is 1516372878697. The next prime is 1516372878803. The reversal of 1516372878720 is 278782736151.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 995647879 + ... + 995649401.

It is an arithmetic number, because the mean of its divisors is an integer number (7725279825).

Almost surely, 2^{1516372878720} is an apocalyptic number.

1516372878720 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 1516372878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966507452800).

1516372878720 is an abundant number, since it is smaller than the sum of its proper divisors (4416642026880).

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

1516372878720 is a wasteful number, since it uses less digits than its factorization.

1516372878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 1516372878720 in words is "one trillion, five hundred sixteen billion, three hundred seventy-two million, eight hundred seventy-eight thousand, seven hundred twenty".