10673252071200 has 216 divisors, whose sum is σ = 38437334103168. Its totient is φ = 2785643005440.

The previous prime is 10673252071187. The next prime is 10673252071213. The reversal of 10673252071200 is 217025237601.

10673252071200 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 3 + 2 + 520 + 7 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10673252071187) and next prime (10673252071213).

It is a super-2 number, since 2×10673252071200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15431772 + ... + 16108571.

It is an arithmetic number, because the mean of its divisors is an integer number (177950620848).

Almost surely, 2^{10673252071200} is an apocalyptic number.

10673252071200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10673252071200 is an abundant number, since it is smaller than the sum of its proper divisors (27764082031968).

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

10673252071200 is a wasteful number, since it uses less digits than its factorization.

10673252071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31540416 (or 31540400 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10673252071200 in words is "ten trillion, six hundred seventy-three billion, two hundred fifty-two million, seventy-one thousand, two hundred".