83031045120 has 528 divisors, whose sum is σ = 302726736000. Its totient is φ = 21001863168.

The previous prime is 83031045113. The next prime is 83031045127. The reversal of 83031045120 is 2154013038.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83031045113) and next prime (83031045127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83031045127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166394631 + ... + 166395129.

Almost surely, 2^83031045120 is an apocalyptic number.

83031045120 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 83031045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151363368000).

83031045120 is an abundant number, since it is smaller than the sum of its proper divisors (219695690880).

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

83031045120 is a wasteful number, since it uses less digits than its factorization.

83031045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 83031045120 its reverse (2154013038), we get a palindrome (85185058158).

The spelling of 83031045120 in words is "eighty-three billion, thirty-one million, forty-five thousand, one hundred twenty".