10567680000 has 360 divisors, whose sum is σ = 36033128208. Its totient is φ = 2752512000.

The previous prime is 10567679999. The next prime is 10567680049. The reversal of 10567680000 is 8676501.

It is a super-2 number, since 2×10567680000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 245759979 + ... + 245760021.

Almost surely, 2^10567680000 is an apocalyptic number.

10567680000 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 10567680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016564104).

10567680000 is an abundant number, since it is smaller than the sum of its proper divisors (25465448208).

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

10567680000 is an frugal number, since it uses more digits than its factorization.

10567680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10567680000 in words is "ten billion, five hundred sixty-seven million, six hundred eighty thousand".