11677450512000 has 1024 divisors, whose sum is σ = 49181471539200. Its totient is φ = 2384308224000.

The previous prime is 11677450511989. The next prime is 11677450512043. The reversal of 11677450512000 is 21505477611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11677450512000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135364881 + ... + 135451119.

It is an arithmetic number, because the mean of its divisors is an integer number (48028780800).

Almost surely, 2^{11677450512000} is an apocalyptic number.

11677450512000 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 11677450512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24590735769600).

11677450512000 is an abundant number, since it is smaller than the sum of its proper divisors (37504021027200).

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

11677450512000 is a wasteful number, since it uses less digits than its factorization.

11677450512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86322 (or 86300 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

Adding to 11677450512000 its reverse (21505477611), we get a palindrome (11698955989611).

The spelling of 11677450512000 in words is "eleven trillion, six hundred seventy-seven billion, four hundred fifty million, five hundred twelve thousand".