172738922885280 has 2304 divisors, whose sum is σ = 685844825702400. Its totient is φ = 40870297681920.

The previous prime is 172738922885267. The next prime is 172738922885323. The reversal of 172738922885280 is 82588229837271.

172738922885280 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 3 + 8 + 92 + 2 + 8 + 8 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 172738922885199 and 172738922885208.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 202507529334 + ... + 202507530186.

It is an arithmetic number, because the mean of its divisors is an integer number (297675705600).

Almost surely, 2^{172738922885280} is an apocalyptic number.

172738922885280 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 172738922885280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342922412851200).

172738922885280 is an abundant number, since it is smaller than the sum of its proper divisors (513105902817120).

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

172738922885280 is a wasteful number, since it uses less digits than its factorization.

172738922885280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 172738922885280 in words is "one hundred seventy-two trillion, seven hundred thirty-eight billion, nine hundred twenty-two million, eight hundred eighty-five thousand, two hundred eighty".