11627800773600 has 1152 divisors, whose sum is σ = 46136672064000. Its totient is φ = 2506987929600.

The previous prime is 11627800773557. The next prime is 11627800773607. The reversal of 11627800773600 is 637700872611.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11627800773600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11627800773607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3828711282 + ... + 3828714318.

It is an arithmetic number, because the mean of its divisors is an integer number (40049194500).

Almost surely, 2^{11627800773600} is an apocalyptic number.

11627800773600 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 11627800773600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23068336032000).

11627800773600 is an abundant number, since it is smaller than the sum of its proper divisors (34508871290400).

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

11627800773600 is a wasteful number, since it uses less digits than its factorization.

11627800773600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 11627800773600 in words is "eleven trillion, six hundred twenty-seven billion, eight hundred million, seven hundred seventy-three thousand, six hundred".