11953958401 has 16 divisors (see below), whose sum is σ = 15267143808. Its totient is φ = 9087580800.

The previous prime is 11953958377. The next prime is 11953958407. The reversal of 11953958401 is 10485935911.

It is a cyclic number.

It is not a de Polignac number, because 11953958401 - 2⁹ = 11953957889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11953958407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1890090 + ... + 1896403.

It is an arithmetic number, because the mean of its divisors is an integer number (954196488).

Almost surely, 2^11953958401 is an apocalyptic number.

11953958401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11953958401 is a deficient number, since it is larger than the sum of its proper divisors (3313185407).

11953958401 is a wasteful number, since it uses less digits than its factorization.

11953958401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786552.

The product of its (nonzero) digits is 194400, while the sum is 46.

The spelling of 11953958401 in words is "eleven billion, nine hundred fifty-three million, nine hundred fifty-eight thousand, four hundred one".