172199979504 has 720 divisors, whose sum is σ = 608639616000. Its totient is φ = 45174205440.

The previous prime is 172199979499. The next prime is 172199979533. The reversal of 172199979504 is 405979991271.

It is a happy number.

172199979504 is a `hidden beast` number, since 17 + 21 + 9 + 9 + 97 + 9 + 504 = 666.

172199979504 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 (63).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 751964862 + ... + 751965090.

It is an arithmetic number, because the mean of its divisors is an integer number (845332800).

Almost surely, 2^172199979504 is an apocalyptic number.

172199979504 is a gapful number since it is divisible by the number (14) 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 172199979504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304319808000).

172199979504 is an abundant number, since it is smaller than the sum of its proper divisors (436439636496).

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

172199979504 is a wasteful number, since it uses less digits than its factorization.

172199979504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 63.

The spelling of 172199979504 in words is "one hundred seventy-two billion, one hundred ninety-nine million, nine hundred seventy-nine thousand, five hundred four".