84372280171200 has 2016 divisors, whose sum is σ = 378052686412800. Its totient is φ = 18200318976000.

The previous prime is 84372280171187. The next prime is 84372280171217. The reversal of 84372280171200 is 217108227348.

84372280171200 is a `hidden beast` number, since 8 + 4 + 372 + 2 + 8 + 0 + 1 + 71 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×84372280171200² (a number of 29 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 10899399330 + ... + 10899407070.

Almost surely, 2^{84372280171200} is an apocalyptic number.

84372280171200 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 84372280171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189026343206400).

84372280171200 is an abundant number, since it is smaller than the sum of its proper divisors (293680406241600).

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

84372280171200 is a wasteful number, since it uses less digits than its factorization.

84372280171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8076 (or 8048 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

Adding to 84372280171200 its reverse (217108227348), we get a palindrome (84589388398548).

The spelling of 84372280171200 in words is "eighty-four trillion, three hundred seventy-two billion, two hundred eighty million, one hundred seventy-one thousand, two hundred".