84800404008840 has 256 divisors, whose sum is σ = 289041075993600. Its totient is φ = 19730674289664.

The previous prime is 84800404008839. The next prime is 84800404008883. The reversal of 84800404008840 is 4880040400848.

It is a happy number.

84800404008840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×84800404008840² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84800404008840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9901387 + ... + 16359653.

It is an arithmetic number, because the mean of its divisors is an integer number (1129066703100).

Almost surely, 2^{84800404008840} 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 84800404008840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144520537996800).

84800404008840 is an abundant number, since it is smaller than the sum of its proper divisors (204240671984760).

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

84800404008840 is a wasteful number, since it uses less digits than its factorization.

84800404008840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458756 (or 6458752 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 84800404008840 in words is "eighty-four trillion, eight hundred billion, four hundred four million, eight thousand, eight hundred forty".