11541212505 has 160 divisors (see below), whose sum is σ = 22118896800. Its totient is φ = 5748019200.

The previous prime is 11541212497. The next prime is 11541212561. The reversal of 11541212505 is 50521214511.

It is a happy number.

11541212505 is a `hidden beast` number, since 1 + 154 + 1 + 2 + 1 + 2 + 505 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 10458539289 + 1082673216 = 102267^2 + 32904^2 .

It is not a de Polignac number, because 11541212505 - 2³ = 11541212497 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 63763515 + ... + 63763695.

It is an arithmetic number, because the mean of its divisors is an integer number (138243105).

Almost surely, 2^11541212505 is an apocalyptic number.

11541212505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11541212505 is a deficient number, since it is larger than the sum of its proper divisors (10577684295).

11541212505 is a wasteful number, since it uses less digits than its factorization.

11541212505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 11541212505 in words is "eleven billion, five hundred forty-one million, two hundred twelve thousand, five hundred five".