10617009888 has 48 divisors (see below), whose sum is σ = 27968201856. Its totient is φ = 3526488960.

The previous prime is 10617009883. The next prime is 10617009889. The reversal of 10617009888 is 88890071601.

10617009888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10617009888² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10617009883) 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 7 ways as a sum of consecutive naturals, for example, 168228 + ... + 222563.

It is an arithmetic number, because the mean of its divisors is an integer number (582670872).

Almost surely, 2^10617009888 is an apocalyptic number.

It is an amenable number.

10617009888 is an abundant number, since it is smaller than the sum of its proper divisors (17351191968).

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

10617009888 is a wasteful number, since it uses less digits than its factorization.

10617009888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391087 (or 391079 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The spelling of 10617009888 in words is "ten billion, six hundred seventeen million, nine thousand, eight hundred eighty-eight".