11541104640 has 768 divisors, whose sum is σ = 46781280000. Its totient is φ = 2691366912.

The previous prime is 11541104633. The next prime is 11541104681. The reversal of 11541104640 is 4640114511.

11541104640 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 1 + 10 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×11541104640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607426551 + ... + 607426569.

It is an arithmetic number, because the mean of its divisors is an integer number (60913125).

Almost surely, 2^11541104640 is an apocalyptic number.

11541104640 is a gapful number since it is divisible by the number (10) 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 11541104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640000).

11541104640 is an abundant number, since it is smaller than the sum of its proper divisors (35240175360).

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

11541104640 is an equidigital number, since it uses as much as digits as its factorization.

11541104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11541104640 in words is "eleven billion, five hundred forty-one million, one hundred four thousand, six hundred forty".