16252401116160 has 1232 divisors, whose sum is σ = 64148898969792. Its totient is φ = 3918208204800.

The previous prime is 16252401116057. The next prime is 16252401116167. The reversal of 16252401116160 is 6161110425261.

16252401116160 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 24 + 0 + 1 + 11 + 616 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16252401116167) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 89792271270 + ... + 89792271450.

Almost surely, 2^{16252401116160} is an apocalyptic number.

16252401116160 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 16252401116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32074449484896).

16252401116160 is an abundant number, since it is smaller than the sum of its proper divisors (47896497853632).

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

16252401116160 is an frugal number, since it uses more digits than its factorization.

16252401116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 16252401116160 in words is "sixteen trillion, two hundred fifty-two billion, four hundred one million, one hundred sixteen thousand, one hundred sixty".