71982146121600 has 2304 divisors, whose sum is σ = 304989379430400. Its totient is φ = 14766022656000.

The previous prime is 71982146121593. The next prime is 71982146121623. The reversal of 71982146121600 is 612164128917.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 71982146121600.

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, 8894367154 + ... + 8894375246.

It is an arithmetic number, because the mean of its divisors is an integer number (132373862600).

Almost surely, 2^{71982146121600} 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 71982146121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152494689715200).

71982146121600 is an abundant number, since it is smaller than the sum of its proper divisors (233007233308800).

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

71982146121600 is a wasteful number, since it uses less digits than its factorization.

71982146121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 71982146121600 in words is "seventy-one trillion, nine hundred eighty-two billion, one hundred forty-six million, one hundred twenty-one thousand, six hundred".