83047358131200 has 1188 divisors, whose sum is σ = 318961853763280. Its totient is φ = 20639192186880.

The previous prime is 83047358131151. The next prime is 83047358131237. The reversal of 83047358131200 is 213185374038.

83047358131200 is a `hidden beast` number, since 8 + 3 + 0 + 47 + 3 + 581 + 3 + 1 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6858310746 + ... + 6858322854.

Almost surely, 2^{83047358131200} is an apocalyptic number.

83047358131200 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 83047358131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159480926881640).

83047358131200 is an abundant number, since it is smaller than the sum of its proper divisors (235914495632080).

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

83047358131200 is a wasteful number, since it uses less digits than its factorization.

83047358131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12282 (or 12239 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 83047358131200 in words is "eighty-three trillion, forty-seven billion, three hundred fifty-eight million, one hundred thirty-one thousand, two hundred".