11676138512640 has 576 divisors, whose sum is σ = 44016590929920. Its totient is φ = 2581336719360.

The previous prime is 11676138512629. The next prime is 11676138512657. The reversal of 11676138512640 is 4621583167611.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2590665267 + ... + 2590669773.

Almost surely, 2^{11676138512640} is an apocalyptic number.

11676138512640 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 11676138512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22008295464960).

11676138512640 is an abundant number, since it is smaller than the sum of its proper divisors (32340452417280).

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

11676138512640 is a wasteful number, since it uses less digits than its factorization.

11676138512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 11676138512640 in words is "eleven trillion, six hundred seventy-six billion, one hundred thirty-eight million, five hundred twelve thousand, six hundred forty".