16315861481920 has 1792 divisors, whose sum is σ = 60027992801280. Its totient is φ = 4049790566400.

The previous prime is 16315861481893. The next prime is 16315861481921. The reversal of 16315861481920 is 2918416851361.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16315861481921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3207361617 + ... + 3207366703.

It is an arithmetic number, because the mean of its divisors is an integer number (33497763840).

Almost surely, 2^{16315861481920} is an apocalyptic number.

16315861481920 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 16315861481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30013996400640).

16315861481920 is an abundant number, since it is smaller than the sum of its proper divisors (43712131319360).

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

16315861481920 is a wasteful number, since it uses less digits than its factorization.

16315861481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 16315861481920 in words is "sixteen trillion, three hundred fifteen billion, eight hundred sixty-one million, four hundred eighty-one thousand, nine hundred twenty".