172045716480 has 528 divisors, whose sum is σ = 655545166848. Its totient is φ = 41373696000.

The previous prime is 172045716421. The next prime is 172045716497. The reversal of 172045716480 is 84617540271.

172045716480 is a `hidden beast` number, since 1 + 72 + 0 + 4 + 571 + 6 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×172045716480³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66399985 + ... + 66402575.

It is an arithmetic number, because the mean of its divisors is an integer number (1241562816).

Almost surely, 2^172045716480 is an apocalyptic number.

172045716480 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 172045716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327772583424).

172045716480 is an abundant number, since it is smaller than the sum of its proper divisors (483499450368).

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

172045716480 is a wasteful number, since it uses less digits than its factorization.

172045716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 172045716480 in words is "one hundred seventy-two billion, forty-five million, seven hundred sixteen thousand, four hundred eighty".