84806509900 has 144 divisors (see below), whose sum is σ = 214908120000. Its totient is φ = 29036474880.

The previous prime is 84806509891. The next prime is 84806509943. The reversal of 84806509900 is 990560848.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35979522 + ... + 35981878.

It is an arithmetic number, because the mean of its divisors is an integer number (1492417500).

Almost surely, 2^84806509900 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 84806509900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107454060000).

84806509900 is an abundant number, since it is smaller than the sum of its proper divisors (130101610100).

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

84806509900 is a wasteful number, since it uses less digits than its factorization.

84806509900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 84806509900 in words is "eighty-four billion, eight hundred six million, five hundred nine thousand, nine hundred".