10672811333856 has 288 divisors, whose sum is σ = 36481148540928. Its totient is φ = 2895327452160.

The previous prime is 10672811333843. The next prime is 10672811333869. The reversal of 10672811333856 is 65833311827601.

10672811333856 is a `hidden beast` number, since 10 + 6 + 7 + 281 + 13 + 338 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10672811333843) and next prime (10672811333869).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10672811333856² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 1701195 + ... + 4923381.

It is an arithmetic number, because the mean of its divisors is an integer number (126670654656).

Almost surely, 2^{10672811333856} is an apocalyptic number.

10672811333856 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 10672811333856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240574270464).

10672811333856 is an abundant number, since it is smaller than the sum of its proper divisors (25808337207072).

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

10672811333856 is a wasteful number, since it uses less digits than its factorization.

10672811333856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222294 (or 3222283 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10672811333856 in words is "ten trillion, six hundred seventy-two billion, eight hundred eleven million, three hundred thirty-three thousand, eight hundred fifty-six".