11527677460 has 48 divisors (see below), whose sum is σ = 26084910096. Its totient is φ = 4253985792.

The previous prime is 11527677449. The next prime is 11527677461. The reversal of 11527677460 is 6477672511.

It can be written as a sum of positive squares in 8 ways, for example, as 1050926724 + 10476750736 = 32418^2 + 102356^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11527677460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11527677461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491112 + ... + 514048.

It is an arithmetic number, because the mean of its divisors is an integer number (543435627).

Almost surely, 2^11527677460 is an apocalyptic number.

11527677460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11527677460 is an abundant number, since it is smaller than the sum of its proper divisors (14557232636).

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

11527677460 is a wasteful number, since it uses less digits than its factorization.

11527677460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24892 (or 24890 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 46.

The spelling of 11527677460 in words is "eleven billion, five hundred twenty-seven million, six hundred seventy-seven thousand, four hundred sixty".