11540761540 has 48 divisors (see below), whose sum is σ = 30215816064. Its totient is φ = 3597120000.

The previous prime is 11540761537. The next prime is 11540761553. The reversal of 11540761540 is 4516704511.

11540761540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11540761496 and 11540761505.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3745461 + ... + 3748540.

It is an arithmetic number, because the mean of its divisors is an integer number (629496168).

Almost surely, 2^11540761540 is an apocalyptic number.

11540761540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11540761540 is an abundant number, since it is smaller than the sum of its proper divisors (18675054524).

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

11540761540 is a wasteful number, since it uses less digits than its factorization.

11540761540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7494028 (or 7494026 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 11540761540 in words is "eleven billion, five hundred forty million, seven hundred sixty-one thousand, five hundred forty".