71855000064000 has 1248 divisors, whose sum is σ = 262176506811648. Its totient is φ = 18930401280000.

The previous prime is 71855000063983. The next prime is 71855000064037. The reversal of 71855000064000 is 46000055817.

71855000064000 is a `hidden beast` number, since 7 + 1 + 8 + 5 + 5 + 0 + 0 + 0 + 0 + 640 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255711743860 + ... + 255711744140.

It is an arithmetic number, because the mean of its divisors is an integer number (210077329176).

Almost surely, 2^{71855000064000} 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 71855000064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131088253405824).

71855000064000 is an abundant number, since it is smaller than the sum of its proper divisors (190321506747648).

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

71855000064000 is a wasteful number, since it uses less digits than its factorization.

71855000064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 71855000064000 in words is "seventy-one trillion, eight hundred fifty-five billion, sixty-four thousand".