2172665107200 has 864 divisors, whose sum is σ = 8482511306752. Its totient is φ = 479250432000.

The previous prime is 2172665107183. The next prime is 2172665107219. The reversal of 2172665107200 is 27015662712.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2678994795 + ... + 2678995605.

Almost surely, 2^{2172665107200} is an apocalyptic number.

2172665107200 is a gapful number since it is divisible by the number (20) 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 2172665107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241255653376).

2172665107200 is an abundant number, since it is smaller than the sum of its proper divisors (6309846199552).

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

2172665107200 is a wasteful number, since it uses less digits than its factorization.

2172665107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 2172665107200 in words is "two trillion, one hundred seventy-two billion, six hundred sixty-five million, one hundred seven thousand, two hundred".