84688512800 has 72 divisors (see below), whose sum is σ = 207002344752. Its totient is φ = 33833376000.

The previous prime is 84688512787. The next prime is 84688512877. The reversal of 84688512800 is 821588648.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 583535 + ... + 714065.

It is an arithmetic number, because the mean of its divisors is an integer number (2875032566).

Almost surely, 2^84688512800 is an apocalyptic number.

84688512800 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 84688512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103501172376).

84688512800 is an abundant number, since it is smaller than the sum of its proper divisors (122313831952).

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

84688512800 is a wasteful number, since it uses less digits than its factorization.

84688512800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131362 (or 131349 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 50.

The spelling of 84688512800 in words is "eighty-four billion, six hundred eighty-eight million, five hundred twelve thousand, eight hundred".