10563834996000 has 1152 divisors, whose sum is σ = 45677343059712. Its totient is φ = 2363904000000.

The previous prime is 10563834995969. The next prime is 10563834996041. The reversal of 10563834996000 is 69943836501.

10563834996000 is a `hidden beast` number, since 10 + 5 + 6 + 3 + 83 + 499 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×10563834996000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138958000 + ... + 139034000.

It is an arithmetic number, because the mean of its divisors is an integer number (39650471406).

Almost surely, 2^{10563834996000} is an apocalyptic number.

10563834996000 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 10563834996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22838671529856).

10563834996000 is an abundant number, since it is smaller than the sum of its proper divisors (35113508063712).

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

10563834996000 is a wasteful number, since it uses less digits than its factorization.

10563834996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76065 (or 76035 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 10563834996000 in words is "ten trillion, five hundred sixty-three billion, eight hundred thirty-four million, nine hundred ninety-six thousand".