10211672957 has 16 divisors (see below), whose sum is σ = 10718188800. Its totient is φ = 9719611200.

The previous prime is 10211672951. The next prime is 10211672959. The reversal of 10211672957 is 75927611201.

10211672957 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10211672957 - 2¹² = 10211668861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211672951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302582 + ... + 334632.

It is an arithmetic number, because the mean of its divisors is an integer number (669886800).

Almost surely, 2^10211672957 is an apocalyptic number.

It is an amenable number.

10211672957 is a deficient number, since it is larger than the sum of its proper divisors (506515843).

10211672957 is a wasteful number, since it uses less digits than its factorization.

10211672957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32276.

The product of its (nonzero) digits is 52920, while the sum is 41.

The spelling of 10211672957 in words is "ten billion, two hundred eleven million, six hundred seventy-two thousand, nine hundred fifty-seven".