10606672867392 has 336 divisors, whose sum is σ = 37392226065792. Its totient is φ = 2805455831040.

The previous prime is 10606672867387. The next prime is 10606672867403. The reversal of 10606672867392 is 29376827660601.

10606672867392 is a `hidden beast` number, since 1 + 0 + 60 + 66 + 72 + 8 + 67 + 392 = 666.

10606672867392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10606672867392² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2912803 + ... + 5449565.

Almost surely, 2^{10606672867392} is an apocalyptic number.

10606672867392 is a gapful number since it is divisible by the number (12) 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 10606672867392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18696113032896).

10606672867392 is an abundant number, since it is smaller than the sum of its proper divisors (26785553198400).

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

10606672867392 is a wasteful number, since it uses less digits than its factorization.

10606672867392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536866 (or 2536853 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 10606672867392 in words is "ten trillion, six hundred six billion, six hundred seventy-two million, eight hundred sixty-seven thousand, three hundred ninety-two".