16169811840 has 1152 divisors, whose sum is σ = 72775000800. Its totient is φ = 3381460992.

The previous prime is 16169811821. The next prime is 16169811857. The reversal of 16169811840 is 4811896161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×16169811840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 143095624 + ... + 143095736.

Almost surely, 2^16169811840 is an apocalyptic number.

16169811840 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 16169811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36387500400).

16169811840 is an abundant number, since it is smaller than the sum of its proper divisors (56605188960).

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

16169811840 is a wasteful number, since it uses less digits than its factorization.

16169811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 16169811840 in words is "sixteen billion, one hundred sixty-nine million, eight hundred eleven thousand, eight hundred forty".