10667360256 has 272 divisors, whose sum is σ = 34023934464. Its totient is φ = 2906652672.

The previous prime is 10667360227. The next prime is 10667360257. The reversal of 10667360256 is 65206376601.

It is a super-2 number, since 2×10667360256² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10667360257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31653720 + ... + 31654056.

Almost surely, 2^10667360256 is an apocalyptic number.

10667360256 is a gapful number since it is divisible by the number (16) 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 10667360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17011967232).

10667360256 is an abundant number, since it is smaller than the sum of its proper divisors (23356574208).

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

10667360256 is an frugal number, since it uses more digits than its factorization.

10667360256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 10667360256 in words is "ten billion, six hundred sixty-seven million, three hundred sixty thousand, two hundred fifty-six".