10674120517600 has 144 divisors (see below), whose sum is σ = 26722138736160. Its totient is φ = 4162212454400.

The previous prime is 10674120517589. The next prime is 10674120517679. The reversal of 10674120517600 is 671502147601.

It is a super-2 number, since 2×10674120517600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999444 + ... + 6110956.

It is an arithmetic number, because the mean of its divisors is an integer number (185570407890).

Almost surely, 2^{10674120517600} is an apocalyptic number.

10674120517600 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 10674120517600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361069368080).

10674120517600 is an abundant number, since it is smaller than the sum of its proper divisors (16048018218560).

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

10674120517600 is a wasteful number, since it uses less digits than its factorization.

10674120517600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111693 (or 2111680 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 10674120517600 in words is "ten trillion, six hundred seventy-four billion, one hundred twenty million, five hundred seventeen thousand, six hundred".