10276681466880 has 528 divisors, whose sum is σ = 36086713004160. Its totient is φ = 2703731982336.

The previous prime is 10276681466771. The next prime is 10276681466903. The reversal of 10276681466880 is 8866418667201.

10276681466880 is a `hidden beast` number, since 10 + 2 + 7 + 6 + 6 + 81 + 466 + 8 + 80 = 666.

It is a super-2 number, since 2×10276681466880² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3859060429 + ... + 3859063091.

Almost surely, 2^{10276681466880} is an apocalyptic number.

10276681466880 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 10276681466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18043356502080).

10276681466880 is an abundant number, since it is smaller than the sum of its proper divisors (25810031537280).

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

10276681466880 is a wasteful number, since it uses less digits than its factorization.

10276681466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 10276681466880 in words is "ten trillion, two hundred seventy-six billion, six hundred eighty-one million, four hundred sixty-six thousand, eight hundred eighty".