10485611136 has 768 divisors, whose sum is σ = 42391036800. Its totient is φ = 2508226560.

The previous prime is 10485611131. The next prime is 10485611161. The reversal of 10485611136 is 63111658401.

It is a happy number.

10485611136 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 5 + 611 + 1 + 36 = 666.

10485611136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10485611136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485611131) 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 95 ways as a sum of consecutive naturals, for example, 24215976 + ... + 24216408.

Almost surely, 2^10485611136 is an apocalyptic number.

10485611136 is a gapful number since it is divisible by the number (16) 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 10485611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195518400).

10485611136 is an abundant number, since it is smaller than the sum of its proper divisors (31905425664).

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

10485611136 is a wasteful number, since it uses less digits than its factorization.

10485611136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10485611136 in words is "ten billion, four hundred eighty-five million, six hundred eleven thousand, one hundred thirty-six".