172263910748160 has 2496 divisors, whose sum is σ = 760802726476800. Its totient is φ = 32216784568320.

The previous prime is 172263910748159. The next prime is 172263910748221. The reversal of 172263910748160 is 61847019362271.

It is a self number, because there is not a number n which added to its sum of digits gives 172263910748160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42544801816 + ... + 42544805864.

Almost surely, 2^{172263910748160} is an apocalyptic number.

172263910748160 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 172263910748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380401363238400).

172263910748160 is an abundant number, since it is smaller than the sum of its proper divisors (588538815728640).

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

172263910748160 is a wasteful number, since it uses less digits than its factorization.

172263910748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 172263910748160 in words is "one hundred seventy-two trillion, two hundred sixty-three billion, nine hundred ten million, seven hundred forty-eight thousand, one hundred sixty".