10081677668051 has 16 divisors (see below), whose sum is σ = 11391898890240. Its totient is φ = 8837877125280.

The previous prime is 10081677668017. The next prime is 10081677668063. The reversal of 10081677668051 is 15086677618001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10081677668051 - 2⁶ = 10081677667987 is a prime.

It is a super-2 number, since 2×10081677668051² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10081677665051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19827731 + ... + 20329836.

It is an arithmetic number, because the mean of its divisors is an integer number (711993680640).

Almost surely, 2^{10081677668051} is an apocalyptic number.

10081677668051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10081677668051 is a deficient number, since it is larger than the sum of its proper divisors (1310221222189).

10081677668051 is a wasteful number, since it uses less digits than its factorization.

10081677668051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40158394.

The product of its (nonzero) digits is 3386880, while the sum is 56.

The spelling of 10081677668051 in words is "ten trillion, eighty-one billion, six hundred seventy-seven million, six hundred sixty-eight thousand, fifty-one".