71906522688000 has 7680 divisors, whose sum is σ = 374750414438400. Its totient is φ = 13257768960000.

The previous prime is 71906522687981. The next prime is 71906522688043. The reversal of 71906522688000 is 88622560917.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 482594111926 + ... + 482594112074.

It is an arithmetic number, because the mean of its divisors is an integer number (48795626880).

Almost surely, 2^{71906522688000} is an apocalyptic number.

71906522688000 is a gapful number since it is divisible by the number (70) 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 71906522688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187375207219200).

71906522688000 is an abundant number, since it is smaller than the sum of its proper divisors (302843891750400).

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

71906522688000 is a wasteful number, since it uses less digits than its factorization.

71906522688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 71906522688000 in words is "seventy-one trillion, nine hundred six billion, five hundred twenty-two million, six hundred eighty-eight thousand".