172759055040 has 1120 divisors, whose sum is σ = 729637945344. Its totient is φ = 38250455040.

The previous prime is 172759055039. The next prime is 172759055047. The reversal of 172759055040 is 40550957271.

172759055040 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 5 + 90 + 550 + 4 + 0 = 666.

172759055040 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 (45).

It is not an unprimeable number, because it can be changed into a prime (172759055047) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 470732937 + ... + 470733303.

Almost surely, 2^172759055040 is an apocalyptic number.

172759055040 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 172759055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364818972672).

172759055040 is an abundant number, since it is smaller than the sum of its proper divisors (556878890304).

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

172759055040 is a wasteful number, since it uses less digits than its factorization.

172759055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 172759055040 in words is "one hundred seventy-two billion, seven hundred fifty-nine million, fifty-five thousand, forty".