11527493952 has 112 divisors (see below), whose sum is σ = 34574845760. Its totient is φ = 3360227328.

The previous prime is 11527493921. The next prime is 11527493969. The reversal of 11527493952 is 25939472511.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74113 + ... + 168960.

It is an arithmetic number, because the mean of its divisors is an integer number (308703980).

Almost surely, 2^11527493952 is an apocalyptic number.

11527493952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11527493952 is an abundant number, since it is smaller than the sum of its proper divisors (23047351808).

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

11527493952 is a wasteful number, since it uses less digits than its factorization.

11527493952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243120 (or 243110 counting only the distinct ones).

The product of its digits is 680400, while the sum is 48.

The spelling of 11527493952 in words is "eleven billion, five hundred twenty-seven million, four hundred ninety-three thousand, nine hundred fifty-two".