84495511800 has 768 divisors, whose sum is σ = 357417600000. Its totient is φ = 18296772480.

The previous prime is 84495511777. The next prime is 84495511811. The reversal of 84495511800 is 811559448.

It is a happy number.

84495511800 is a `hidden beast` number, since 8 + 44 + 95 + 511 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4447132191 + ... + 4447132209.

It is an arithmetic number, because the mean of its divisors is an integer number (465387500).

Almost surely, 2^84495511800 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 84495511800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178708800000).

84495511800 is an abundant number, since it is smaller than the sum of its proper divisors (272922088200).

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

84495511800 is an frugal number, since it uses more digits than its factorization.

84495511800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 84495511800 in words is "eighty-four billion, four hundred ninety-five million, five hundred eleven thousand, eight hundred".