11627855400960 has 312 divisors, whose sum is σ = 40387379950944. Its totient is φ = 3094422159360.

The previous prime is 11627855400913. The next prime is 11627855400983. The reversal of 11627855400960 is 6900455872611.

It is a happy number.

11627855400960 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 7 + 8 + 5 + 540 + 0 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11627855400897 and 11627855400906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90436879 + ... + 90565361.

It is an arithmetic number, because the mean of its divisors is an integer number (129446730612).

Almost surely, 2^{11627855400960} is an apocalyptic number.

11627855400960 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 11627855400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20193689975472).

11627855400960 is an abundant number, since it is smaller than the sum of its proper divisors (28759524549984).

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

11627855400960 is a wasteful number, since it uses less digits than its factorization.

11627855400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129009 (or 128984 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 11627855400960 in words is "eleven trillion, six hundred twenty-seven billion, eight hundred fifty-five million, four hundred thousand, nine hundred sixty".