84907799729100 has 432 divisors, whose sum is σ = 287044237159680. Its totient is φ = 21752954092800.

The previous prime is 84907799729069. The next prime is 84907799729141. The reversal of 84907799729100 is 192799770948.

It is a happy number.

84907799729100 is a `hidden beast` number, since 8 + 490 + 7 + 7 + 9 + 9 + 7 + 29 + 100 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63072841 + ... + 64404959.

Almost surely, 2^{84907799729100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84907799729100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143522118579840).

84907799729100 is an abundant number, since it is smaller than the sum of its proper divisors (202136437430580).

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

84907799729100 is a wasteful number, since it uses less digits than its factorization.

84907799729100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332252 (or 1332233 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 72.

The spelling of 84907799729100 in words is "eighty-four trillion, nine hundred seven billion, seven hundred ninety-nine million, seven hundred twenty-nine thousand, one hundred".