10671399379200 has 1296 divisors, whose sum is σ = 42125117153280. Its totient is φ = 2371249520640.

The previous prime is 10671399379099. The next prime is 10671399379217. The reversal of 10671399379200 is 297399317601.

It is a super-2 number, since 2×10671399379200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4979653329 + ... + 4979655471.

Almost surely, 2^{10671399379200} is an apocalyptic number.

10671399379200 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 10671399379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062558576640).

10671399379200 is an abundant number, since it is smaller than the sum of its proper divisors (31453717774080).

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

10671399379200 is a wasteful number, since it uses less digits than its factorization.

10671399379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 57.

The spelling of 10671399379200 in words is "ten trillion, six hundred seventy-one billion, three hundred ninety-nine million, three hundred seventy-nine thousand, two hundred".