172260496800 has 1440 divisors, whose sum is σ = 771779352960. Its totient is φ = 36495360000.

The previous prime is 172260496787. The next prime is 172260496819. The reversal of 172260496800 is 8694062271.

It is a happy number.

172260496800 is a `hidden beast` number, since 1 + 7 + 22 + 60 + 496 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 686296675 + ... + 686296925.

It is an arithmetic number, because the mean of its divisors is an integer number (535957884).

Almost surely, 2^172260496800 is an apocalyptic number.

172260496800 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 172260496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385889676480).

172260496800 is an abundant number, since it is smaller than the sum of its proper divisors (599518856160).

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

172260496800 is a wasteful number, since it uses less digits than its factorization.

172260496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 172260496800 in words is "one hundred seventy-two billion, two hundred sixty million, four hundred ninety-six thousand, eight hundred".