11627497920 has 224 divisors, whose sum is σ = 37764207936. Its totient is φ = 3030220800.

The previous prime is 11627497907. The next prime is 11627497927. The reversal of 11627497920 is 2979472611.

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 11627497920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11627497927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10598812 + ... + 10599908.

It is an arithmetic number, because the mean of its divisors is an integer number (168590214).

Almost surely, 2^11627497920 is an apocalyptic number.

11627497920 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 11627497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18882103968).

11627497920 is an abundant number, since it is smaller than the sum of its proper divisors (26136710016).

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

11627497920 is a wasteful number, since it uses less digits than its factorization.

11627497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 11627497920 in words is "eleven billion, six hundred twenty-seven million, four hundred ninety-seven thousand, nine hundred twenty".