10541564136 has 192 divisors, whose sum is σ = 31330990080. Its totient is φ = 3187537920.

The previous prime is 10541564123. The next prime is 10541564141. The reversal of 10541564136 is 63146514501.

10541564136 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 5 + 641 + 3 + 6 = 666.

It is a super-2 number, since 2×10541564136² (a number of 21 digits) contains 22 as substring.

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 10541564136.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13925070 + ... + 13925826.

It is an arithmetic number, because the mean of its divisors is an integer number (163182240).

Almost surely, 2^10541564136 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 10541564136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665495040).

10541564136 is an abundant number, since it is smaller than the sum of its proper divisors (20789425944).

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

10541564136 is a wasteful number, since it uses less digits than its factorization.

10541564136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10541564136 in words is "ten billion, five hundred forty-one million, five hundred sixty-four thousand, one hundred thirty-six".