84048880800 has 144 divisors (see below), whose sum is σ = 274181326272. Its totient is φ = 22363699200.

The previous prime is 84048880793. The next prime is 84048880819. The reversal of 84048880800 is 808884048.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84048880800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058485 + ... + 1135115.

It is an arithmetic number, because the mean of its divisors is an integer number (1904036988).

Almost surely, 2^84048880800 is an apocalyptic number.

84048880800 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 84048880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137090663136).

84048880800 is an abundant number, since it is smaller than the sum of its proper divisors (190132445472).

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

84048880800 is a wasteful number, since it uses less digits than its factorization.

84048880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77111 (or 77098 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 84048880800 in words is "eighty-four billion, forty-eight million, eight hundred eighty thousand, eight hundred".