10567681380000 has 360 divisors, whose sum is σ = 37760374527876. Its totient is φ = 2802470400000.

The previous prime is 10567681379951. The next prime is 10567681380037. The reversal of 10567681380000 is 8318676501.

10567681380000 is a `hidden beast` number, since 1 + 0 + 567 + 6 + 8 + 1 + 3 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2930793345936 + 7636888034064 = 1711956^2 + 2763492^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10567681380000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32417820 + ... + 32742180.

Almost surely, 2^{10567681380000} is an apocalyptic number.

10567681380000 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 10567681380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18880187263938).

10567681380000 is an abundant number, since it is smaller than the sum of its proper divisors (27192693147876).

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

10567681380000 is a wasteful number, since it uses less digits than its factorization.

10567681380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324578 (or 324552 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10567681380000 in words is "ten trillion, five hundred sixty-seven billion, six hundred eighty-one million, three hundred eighty thousand".