83142858240 has 1120 divisors, whose sum is σ = 338125233600. Its totient is φ = 19444727808.

The previous prime is 83142858221. The next prime is 83142858241. The reversal of 83142858240 is 4285824138.

83142858240 is a `hidden beast` number, since 8 + 3 + 1 + 4 + 28 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83142858241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 558005686 + ... + 558005834.

It is an arithmetic number, because the mean of its divisors is an integer number (301897530).

Almost surely, 2^83142858240 is an apocalyptic number.

83142858240 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 83142858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169062616800).

83142858240 is an abundant number, since it is smaller than the sum of its proper divisors (254982375360).

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

83142858240 is a wasteful number, since it uses less digits than its factorization.

83142858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 83142858240 in words is "eighty-three billion, one hundred forty-two million, eight hundred fifty-eight thousand, two hundred forty".