11627693280 has 576 divisors, whose sum is σ = 47340453888. Its totient is φ = 2543063040.

The previous prime is 11627693257. The next prime is 11627693293. The reversal of 11627693280 is 8239672611.

11627693280 is a `hidden beast` number, since 1 + 16 + 276 + 93 + 280 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39684814 + ... + 39685106.

It is an arithmetic number, because the mean of its divisors is an integer number (82188288).

Almost surely, 2^11627693280 is an apocalyptic number.

11627693280 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 11627693280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23670226944).

11627693280 is an abundant number, since it is smaller than the sum of its proper divisors (35712760608).

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

11627693280 is a wasteful number, since it uses less digits than its factorization.

11627693280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11627693280 in words is "eleven billion, six hundred twenty-seven million, six hundred ninety-three thousand, two hundred eighty".