172681225920 has 448 divisors, whose sum is σ = 715032514560. Its totient is φ = 38402740224.

The previous prime is 172681225919. The next prime is 172681225921. The reversal of 172681225920 is 29522186271.

172681225920 is a `hidden beast` number, since 17 + 26 + 8 + 1 + 22 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (172681225919) and next prime (172681225921).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (172681225921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2199177 + ... + 2276343.

It is an arithmetic number, because the mean of its divisors is an integer number (1596054720).

Almost surely, 2^172681225920 is an apocalyptic number.

172681225920 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 172681225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357516257280).

172681225920 is an abundant number, since it is smaller than the sum of its proper divisors (542351288640).

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

172681225920 is a wasteful number, since it uses less digits than its factorization.

172681225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77237 (or 77221 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 172681225920 in words is "one hundred seventy-two billion, six hundred eighty-one million, two hundred twenty-five thousand, nine hundred twenty".