172479451921920 has 2560 divisors, whose sum is σ = 735223962654720. Its totient is φ = 37774688256000.

The previous prime is 172479451921841. The next prime is 172479451922021. The reversal of 172479451921920 is 29129154974271.

172479451921920 is a `hidden beast` number, since 1 + 7 + 2 + 4 + 7 + 9 + 4 + 519 + 21 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×172479451921920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 145307035567 + ... + 145307036753.

It is an arithmetic number, because the mean of its divisors is an integer number (287196860412).

Almost surely, 2^{172479451921920} is an apocalyptic number.

172479451921920 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 172479451921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367611981327360).

172479451921920 is an abundant number, since it is smaller than the sum of its proper divisors (562744510732800).

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

172479451921920 is a wasteful number, since it uses less digits than its factorization.

172479451921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 172479451921920 in words is "one hundred seventy-two trillion, four hundred seventy-nine billion, four hundred fifty-one million, nine hundred twenty-one thousand, nine hundred twenty".