172213675920 has 1440 divisors, whose sum is σ = 739100194560. Its totient is φ = 35582976000.

The previous prime is 172213675891. The next prime is 172213675957. The reversal of 172213675920 is 29576312271.

It is a happy number.

172213675920 is a `hidden beast` number, since 1 + 7 + 2 + 21 + 36 + 7 + 592 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1140487845 + ... + 1140487995.

It is an arithmetic number, because the mean of its divisors is an integer number (513264024).

Almost surely, 2^172213675920 is an apocalyptic number.

172213675920 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 172213675920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369550097280).

172213675920 is an abundant number, since it is smaller than the sum of its proper divisors (566886518640).

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

172213675920 is a wasteful number, since it uses less digits than its factorization.

172213675920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 172213675920 in words is "one hundred seventy-two billion, two hundred thirteen million, six hundred seventy-five thousand, nine hundred twenty".