172864298880 has 1024 divisors, whose sum is σ = 758535321600. Its totient is φ = 36229939200.

The previous prime is 172864298879. The next prime is 172864298899. The reversal of 172864298880 is 88892468271.

172864298880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 331793020 + ... + 331793540.

It is an arithmetic number, because the mean of its divisors is an integer number (740757150).

Almost surely, 2^172864298880 is an apocalyptic number.

172864298880 is a gapful number since it is divisible by the number (10) 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 172864298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379267660800).

172864298880 is an abundant number, since it is smaller than the sum of its proper divisors (585671022720).

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

172864298880 is a wasteful number, since it uses less digits than its factorization.

172864298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 172864298880 in words is "one hundred seventy-two billion, eight hundred sixty-four million, two hundred ninety-eight thousand, eight hundred eighty".