83163132699040 has 144 divisors (see below), whose sum is σ = 207497300640840. Its totient is φ = 31493252874240.

The previous prime is 83163132699019. The next prime is 83163132699041. The reversal of 83163132699040 is 4099623136138.

It can be written as a sum of positive squares in 4 ways, for example, as 75636208760464 + 7526923938576 = 8696908^2 + 2743524^2 .

It is a super-2 number, since 2×83163132699040² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83163132699041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85521160 + ... + 86488120.

Almost surely, 2^{83163132699040} is an apocalyptic number.

83163132699040 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 83163132699040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103748650320420).

83163132699040 is an abundant number, since it is smaller than the sum of its proper divisors (124334167941800).

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

83163132699040 is a wasteful number, since it uses less digits than its factorization.

83163132699040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968503 (or 968476 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 55.

The spelling of 83163132699040 in words is "eighty-three trillion, one hundred sixty-three billion, one hundred thirty-two million, six hundred ninety-nine thousand, forty".