10712476478268 has 120 divisors (see below), whose sum is σ = 28114374672384. Its totient is φ = 3556835517600.

The previous prime is 10712476478219. The next prime is 10712476478269. The reversal of 10712476478268 is 86287467421701.

10712476478268 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 247 + 64 + 78 + 268 = 666.

It is a super-2 number, since 2×10712476478268² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712476478269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145768773 + ... + 145842243.

Almost surely, 2^{10712476478268} is an apocalyptic number.

10712476478268 is a gapful number since it is divisible by the number (18) 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 10712476478268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14057187336192).

10712476478268 is an abundant number, since it is smaller than the sum of its proper divisors (17401898194116).

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

10712476478268 is a wasteful number, since it uses less digits than its factorization.

10712476478268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75245 (or 75234 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 10712476478268 in words is "ten trillion, seven hundred twelve billion, four hundred seventy-six million, four hundred seventy-eight thousand, two hundred sixty-eight".