262161861120 has 320 divisors, whose sum is σ = 942460928640. Its totient is φ = 69066031104.

The previous prime is 262161861107. The next prime is 262161861131. The reversal of 262161861120 is 21168161262.

It is a happy number.

262161861120 is a `hidden beast` number, since 2 + 6 + 2 + 1 + 6 + 18 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5714112 + ... + 5759808.

It is an arithmetic number, because the mean of its divisors is an integer number (2945190402).

Almost surely, 2^262161861120 is an apocalyptic number.

262161861120 is a gapful number since it is divisible by the number (20) 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 262161861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471230464320).

262161861120 is an abundant number, since it is smaller than the sum of its proper divisors (680299067520).

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

262161861120 is an equidigital number, since it uses as much as digits as its factorization.

262161861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45812 (or 45790 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 262161861120 in words is "two hundred sixty-two billion, one hundred sixty-one million, eight hundred sixty-one thousand, one hundred twenty".