10675393882200 has 480 divisors, whose sum is σ = 37572632697600. Its totient is φ = 2808824221440.

The previous prime is 10675393882193. The next prime is 10675393882213. The reversal of 10675393882200 is 228839357601.

10675393882200 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 5 + 39 + 388 + 220 + 0 = 666.

10675393882200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10675393882200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1128114669 + ... + 1128124131.

It is an arithmetic number, because the mean of its divisors is an integer number (78276318120).

Almost surely, 2^{10675393882200} is an apocalyptic number.

10675393882200 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 10675393882200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786316348800).

10675393882200 is an abundant number, since it is smaller than the sum of its proper divisors (26897238815400).

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

10675393882200 is a wasteful number, since it uses less digits than its factorization.

10675393882200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10413 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10675393882200 in words is "ten trillion, six hundred seventy-five billion, three hundred ninety-three million, eight hundred eighty-two thousand, two hundred".