10567985472000 has 1920 divisors, whose sum is σ = 43115417579520. Its totient is φ = 2465648640000.

The previous prime is 10567985471983. The next prime is 10567985472007. The reversal of 10567985472000 is 27458976501.

10567985472000 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 7 + 98 + 547 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×10567985472000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10567985472007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21523391755 + ... + 21523392245.

It is an arithmetic number, because the mean of its divisors is an integer number (22455946656).

Almost surely, 2^{10567985472000} is an apocalyptic number.

10567985472000 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 10567985472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21557708789760).

10567985472000 is an abundant number, since it is smaller than the sum of its proper divisors (32547432107520).

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

10567985472000 is a wasteful number, since it uses less digits than its factorization.

10567985472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 10567985472000 in words is "ten trillion, five hundred sixty-seven billion, nine hundred eighty-five million, four hundred seventy-two thousand".