10678542336000 has 4080 divisors, whose sum is σ = 52648767050880. Its totient is φ = 2102132736000.

The previous prime is 10678542335971. The next prime is 10678542336031. The reversal of 10678542336000 is 63324587601.

10678542336000 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 8 + 5 + 4 + 2 + 33 + 600 + 0 = 666.

It is a super-2 number, since 2×10678542336000² (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 239 ways as a sum of consecutive naturals, for example, 562028543991 + ... + 562028544009.

Almost surely, 2^{10678542336000} is an apocalyptic number.

10678542336000 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 10678542336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26324383525440).

10678542336000 is an abundant number, since it is smaller than the sum of its proper divisors (41970224714880).

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

10678542336000 is an frugal number, since it uses more digits than its factorization.

10678542336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10678542336000 in words is "ten trillion, six hundred seventy-eight billion, five hundred forty-two million, three hundred thirty-six thousand".