11687177326880 has 192 divisors, whose sum is σ = 31331877857280. Its totient is φ = 4080661401600.

The previous prime is 11687177326823. The next prime is 11687177326883. The reversal of 11687177326880 is 8862377178611.

It is a super-2 number, since 2×11687177326880² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11687177326883) 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, 8605697 + ... + 9870783.

It is an arithmetic number, because the mean of its divisors is an integer number (163186863840).

Almost surely, 2^{11687177326880} is an apocalyptic number.

11687177326880 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 11687177326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665938928640).

11687177326880 is an abundant number, since it is smaller than the sum of its proper divisors (19644700530400).

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

11687177326880 is a wasteful number, since it uses less digits than its factorization.

11687177326880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265323 (or 1265315 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 65.

The spelling of 11687177326880 in words is "eleven trillion, six hundred eighty-seven billion, one hundred seventy-seven million, three hundred twenty-six thousand, eight hundred eighty".