11627557101132 has 96 divisors (see below), whose sum is σ = 31194664510464. Its totient is φ = 3302093414400.

The previous prime is 11627557101131. The next prime is 11627557101179. The reversal of 11627557101132 is 23110175572611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11627557101131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8591332 + ... + 9852212.

It is an arithmetic number, because the mean of its divisors is an integer number (324944421984).

Almost surely, 2^{11627557101132} is an apocalyptic number.

11627557101132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11627557101132 is an abundant number, since it is smaller than the sum of its proper divisors (19567107409332).

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

11627557101132 is a wasteful number, since it uses less digits than its factorization.

11627557101132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261559 (or 1261557 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 42.

The spelling of 11627557101132 in words is "eleven trillion, six hundred twenty-seven billion, five hundred fifty-seven million, one hundred one thousand, one hundred thirty-two".