10276567072000 has 288 divisors, whose sum is σ = 27435318753024. Its totient is φ = 3825626112000.

The previous prime is 10276567071973. The next prime is 10276567072019. The reversal of 10276567072000 is 27076567201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27043315 + ... + 27420685.

It is an arithmetic number, because the mean of its divisors is an integer number (95261523448).

Almost surely, 2^{10276567072000} is an apocalyptic number.

10276567072000 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 10276567072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13717659376512).

10276567072000 is an abundant number, since it is smaller than the sum of its proper divisors (17158751681024).

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

10276567072000 is an equidigital number, since it uses as much as digits as its factorization.

10276567072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377462 (or 377438 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 10276567072000 in words is "ten trillion, two hundred seventy-six billion, five hundred sixty-seven million, seventy-two thousand".