11532679680 has 160 divisors (see below), whose sum is σ = 37018327104. Its totient is φ = 3062890496.

The previous prime is 11532679667. The next prime is 11532679721. The reversal of 11532679680 is 8697623511.

It is a tau number, because it is divible by the number of its divisors (160).

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

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, 1970839 + ... + 1976681.

Almost surely, 2^11532679680 is an apocalyptic number.

11532679680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11532679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18509163552).

11532679680 is an abundant number, since it is smaller than the sum of its proper divisors (25485647424).

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

11532679680 is an equidigital number, since it uses as much as digits as its factorization.

11532679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 11532679680 in words is "eleven billion, five hundred thirty-two million, six hundred seventy-nine thousand, six hundred eighty".