16162386240 has 896 divisors, whose sum is σ = 69968424960. Its totient is φ = 3077775360.

The previous prime is 16162386209. The next prime is 16162386241. The reversal of 16162386240 is 4268326161.

It is a super-2 number, since 2×16162386240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16162386241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116276091 + ... + 116276229.

It is an arithmetic number, because the mean of its divisors is an integer number (78089760).

Almost surely, 2^16162386240 is an apocalyptic number.

16162386240 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 16162386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34984212480).

16162386240 is an abundant number, since it is smaller than the sum of its proper divisors (53806038720).

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

16162386240 is a wasteful number, since it uses less digits than its factorization.

16162386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 16162386240 in words is "sixteen billion, one hundred sixty-two million, three hundred eighty-six thousand, two hundred forty".