84660855552000 has 3456 divisors, whose sum is σ = 382977700560000. Its totient is φ = 17611200921600.

The previous prime is 84660855551939. The next prime is 84660855552017. The reversal of 84660855552000 is 25555806648.

It is a happy number.

84660855552000 is a `hidden beast` number, since 8 + 4 + 6 + 6 + 0 + 85 + 5 + 552 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 242581247826 + ... + 242581248174.

It is an arithmetic number, because the mean of its divisors is an integer number (110815306875).

Almost surely, 2^{84660855552000} is an apocalyptic number.

84660855552000 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 84660855552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191488850280000).

84660855552000 is an abundant number, since it is smaller than the sum of its proper divisors (298316845008000).

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

84660855552000 is a wasteful number, since it uses less digits than its factorization.

84660855552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 84660855552000 in words is "eighty-four trillion, six hundred sixty billion, eight hundred fifty-five million, five hundred fifty-two thousand".