172753815214080 has 576 divisors, whose sum is σ = 634075294769280. Its totient is φ = 43349478211584.

The previous prime is 172753815214049. The next prime is 172753815214151. The reversal of 172753815214080 is 80412518357271.

172753815214080 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 5 + 38 + 1 + 521 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14261846104 + ... + 14261858216.

It is an arithmetic number, because the mean of its divisors is an integer number (1100825164530).

Almost surely, 2^{172753815214080} is an apocalyptic number.

172753815214080 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 172753815214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317037647384640).

172753815214080 is an abundant number, since it is smaller than the sum of its proper divisors (461321479555200).

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

172753815214080 is a wasteful number, since it uses less digits than its factorization.

172753815214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21266 (or 21243 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 172753815214080 in words is "one hundred seventy-two trillion, seven hundred fifty-three billion, eight hundred fifteen million, two hundred fourteen thousand, eighty".