10056214965 has 64 divisors (see below), whose sum is σ = 16700276736. Its totient is φ = 5164653312.

The previous prime is 10056214921. The next prime is 10056214967. The reversal of 10056214965 is 56941265001.

It is not a de Polignac number, because 10056214965 - 2⁸ = 10056214709 is a prime.

It is a super-2 number, since 2×10056214965² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056214967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10398912 + ... + 10399878.

It is an arithmetic number, because the mean of its divisors is an integer number (260941824).

Almost surely, 2^10056214965 is an apocalyptic number.

10056214965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10056214965 is a deficient number, since it is larger than the sum of its proper divisors (6644061771).

10056214965 is a wasteful number, since it uses less digits than its factorization.

10056214965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258.

The product of its (nonzero) digits is 64800, while the sum is 39.

Adding to 10056214965 its reverse (56941265001), we get a palindrome (66997479966).

The spelling of 10056214965 in words is "ten billion, fifty-six million, two hundred fourteen thousand, nine hundred sixty-five".