11677645385280 has 896 divisors, whose sum is σ = 48782733788160. Its totient is φ = 2573997834240.

The previous prime is 11677645385249. The next prime is 11677645385281. The reversal of 11677645385280 is 8258354677611.

It is a happy number.

11677645385280 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 76 + 4 + 5 + 38 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11677645385281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 252843790 + ... + 252889970.

Almost surely, 2^{11677645385280} is an apocalyptic number.

11677645385280 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 11677645385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24391366894080).

11677645385280 is an abundant number, since it is smaller than the sum of its proper divisors (37105088402880).

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

11677645385280 is a wasteful number, since it uses less digits than its factorization.

11677645385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46364 (or 46348 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 11677645385280 in words is "eleven trillion, six hundred seventy-seven billion, six hundred forty-five million, three hundred eighty-five thousand, two hundred eighty".