10894749264 has 160 divisors (see below), whose sum is σ = 37620608000. Its totient is φ = 2948939136.

The previous prime is 10894749263. The next prime is 10894749289. The reversal of 10894749264 is 46294749801.

10894749264 is a `hidden beast` number, since 1 + 0 + 8 + 94 + 7 + 492 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10894749264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10894749263) 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 31 ways as a sum of consecutive naturals, for example, 37354 + ... + 152265.

It is an arithmetic number, because the mean of its divisors is an integer number (235128800).

Almost surely, 2^10894749264 is an apocalyptic number.

10894749264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10894749264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18810304000).

10894749264 is an abundant number, since it is smaller than the sum of its proper divisors (26725858736).

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

10894749264 is a wasteful number, since it uses less digits than its factorization.

10894749264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189662 (or 189650 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10894749264 in words is "ten billion, eight hundred ninety-four million, seven hundred forty-nine thousand, two hundred sixty-four".