10857428870401 has 2 divisors, whose sum is σ = 10857428870402. Its totient is φ = 10857428870400.

The previous prime is 10857428870399. The next prime is 10857428870419. The reversal of 10857428870401 is 10407882475801.

10857428870401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9857238861376 + 1000190009025 = 3139624^2 + 1000095^2 .

It is a cyclic number.

It is not a de Polignac number, because 10857428870401 - 2¹ = 10857428870399 is a prime.

Together with 10857428870399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10857428810401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5428714435200 + 5428714435201.

It is an arithmetic number, because the mean of its divisors is an integer number (5428714435201).

Almost surely, 2^{10857428870401} is an apocalyptic number.

It is an amenable number.

10857428870401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10857428870401 is an equidigital number, since it uses as much as digits as its factorization.

10857428870401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4014080, while the sum is 55.

The spelling of 10857428870401 in words is "ten trillion, eight hundred fifty-seven billion, four hundred twenty-eight million, eight hundred seventy thousand, four hundred one".