83407872000 has 448 divisors, whose sum is σ = 292377571200. Its totient is φ = 21056716800.

The previous prime is 83407871999. The next prime is 83407872011. The reversal of 83407872000 is 27870438.

It is a super-2 number, since 2×83407872000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83407872000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58367286 + ... + 58368714.

Almost surely, 2^83407872000 is an apocalyptic number.

83407872000 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 83407872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146188785600).

83407872000 is an abundant number, since it is smaller than the sum of its proper divisors (208969699200).

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

83407872000 is a wasteful number, since it uses less digits than its factorization.

83407872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 83407872000 in words is "eighty-three billion, four hundred seven million, eight hundred seventy-two thousand".