16151993360640 has 864 divisors, whose sum is σ = 58883211878400. Its totient is φ = 4238514708480.

The previous prime is 16151993360627. The next prime is 16151993360641. The reversal of 16151993360640 is 4606339915161.

16151993360640 is a `hidden beast` number, since 1 + 6 + 1 + 519 + 9 + 3 + 3 + 60 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×16151993360640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16151993360641) by changing a digit.

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, 8821404525 + ... + 8821406355.

It is an arithmetic number, because the mean of its divisors is an integer number (68151865600).

Almost surely, 2^{16151993360640} is an apocalyptic number.

16151993360640 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 16151993360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29441605939200).

16151993360640 is an abundant number, since it is smaller than the sum of its proper divisors (42731218517760).

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

16151993360640 is an equidigital number, since it uses as much as digits as its factorization.

16151993360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 16151993360640 in words is "sixteen trillion, one hundred fifty-one billion, nine hundred ninety-three million, three hundred sixty thousand, six hundred forty".