84804570816000 has 2560 divisors, whose sum is σ = 346541179944960. Its totient is φ = 17971200000000.

The previous prime is 84804570815989. The next prime is 84804570816011. The reversal of 84804570816000 is 61807540848.

It is an interprime number because it is at equal distance from previous prime (84804570815989) and next prime (84804570816011).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 337866815875 + ... + 337866816125.

It is an arithmetic number, because the mean of its divisors is an integer number (135367648416).

Almost surely, 2^{84804570816000} is an apocalyptic number.

84804570816000 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 84804570816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173270589972480).

84804570816000 is an abundant number, since it is smaller than the sum of its proper divisors (261736609128960).

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

84804570816000 is a wasteful number, since it uses less digits than its factorization.

84804570816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 84804570816000 in words is "eighty-four trillion, eight hundred four billion, five hundred seventy million, eight hundred sixteen thousand".