172947856900 has 243 divisors, whose sum is σ = 473772045789. Its totient is φ = 54615375360.

The previous prime is 172947856889. The next prime is 172947856957. The reversal of 172947856900 is 9658749271.

The square root of 172947856900 is 415870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 107624675844 + 65323181056 = 328062^2 + 255584^2 .

It is a super-2 number, since 2×172947856900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 378441472 + ... + 378441928.

Almost surely, 2^172947856900 is an apocalyptic number.

172947856900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

172947856900 is the 415870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172947856900

172947856900 is an abundant number, since it is smaller than the sum of its proper divisors (300824188889).

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

172947856900 is a wasteful number, since it uses less digits than its factorization.

172947856900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 172947856900 in words is "one hundred seventy-two billion, nine hundred forty-seven million, eight hundred fifty-six thousand, nine hundred".