172438876896 has 576 divisors, whose sum is σ = 561006673920. Its totient is φ = 45916416000.

The previous prime is 172438876829. The next prime is 172438876921. The reversal of 172438876896 is 698678834271.

It is a self number, because there is not a number n which added to its sum of digits gives 172438876896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392799045 + ... + 392799483.

It is an arithmetic number, because the mean of its divisors is an integer number (973969920).

Almost surely, 2^172438876896 is an apocalyptic number.

172438876896 is a gapful number since it is divisible by the number (16) 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 172438876896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280503336960).

172438876896 is an abundant number, since it is smaller than the sum of its proper divisors (388567797024).

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

172438876896 is a wasteful number, since it uses less digits than its factorization.

172438876896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 570 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 69.

The spelling of 172438876896 in words is "one hundred seventy-two billion, four hundred thirty-eight million, eight hundred seventy-six thousand, eight hundred ninety-six".