10266216782976 has 1152 divisors, whose sum is σ = 39581688744000. Its totient is φ = 2518584606720.

The previous prime is 10266216782869. The next prime is 10266216783037. The reversal of 10266216782976 is 67928761266201.

10266216782976 is a `hidden beast` number, since 1 + 0 + 2 + 66 + 216 + 78 + 297 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 4589277730 + ... + 4589279966.

Almost surely, 2^{10266216782976} is an apocalyptic number.

10266216782976 is a gapful number since it is divisible by the number (16) 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 10266216782976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19790844372000).

10266216782976 is an abundant number, since it is smaller than the sum of its proper divisors (29315471961024).

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

10266216782976 is a wasteful number, since it uses less digits than its factorization.

10266216782976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 10266216782976 in words is "ten trillion, two hundred sixty-six billion, two hundred sixteen million, seven hundred eighty-two thousand, nine hundred seventy-six".