83401436160 has 440 divisors, whose sum is σ = 341570280480. Its totient is φ = 19062521856.

The previous prime is 83401436141. The next prime is 83401436203. The reversal of 83401436160 is 6163410438.

It is a happy number.

83401436160 is a `hidden beast` number, since 8 + 34 + 0 + 1 + 4 + 3 + 616 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2888676 + ... + 2917404.

It is an arithmetic number, because the mean of its divisors is an integer number (776296092).

Almost surely, 2^83401436160 is an apocalyptic number.

83401436160 is a gapful number since it is divisible by the number (80) 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 83401436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170785140240).

83401436160 is an abundant number, since it is smaller than the sum of its proper divisors (258168844320).

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

83401436160 is a wasteful number, since it uses less digits than its factorization.

83401436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28773 (or 28746 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 83401436160 its reverse (6163410438), we get a palindrome (89564846598).

The spelling of 83401436160 in words is "eighty-three billion, four hundred one million, four hundred thirty-six thousand, one hundred sixty".