10611251904 has 224 divisors, whose sum is σ = 31639410432. Its totient is φ = 3110400000.

The previous prime is 10611251843. The next prime is 10611251909. The reversal of 10611251904 is 40915211601.

10611251904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10611251904² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10611251909) 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 31 ways as a sum of consecutive naturals, for example, 19613874 + ... + 19614414.

It is an arithmetic number, because the mean of its divisors is an integer number (141247368).

Almost surely, 2^10611251904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10611251904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15819705216).

10611251904 is an abundant number, since it is smaller than the sum of its proper divisors (21028158528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10611251904 is a wasteful number, since it uses less digits than its factorization.

10611251904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 10611251904 in words is "ten billion, six hundred eleven million, two hundred fifty-one thousand, nine hundred four".