11628345520 has 320 divisors, whose sum is σ = 32583057408. Its totient is φ = 3814272000.

The previous prime is 11628345493. The next prime is 11628345527. The reversal of 11628345520 is 2554382611.

It is a self number, because there is not a number n which added to its sum of digits gives 11628345520.

It is not an unprimeable number, because it can be changed into a prime (11628345527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26979705 + ... + 26980135.

Almost surely, 2^11628345520 is an apocalyptic number.

11628345520 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 11628345520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291528704).

11628345520 is an abundant number, since it is smaller than the sum of its proper divisors (20954711888).

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

11628345520 is a wasteful number, since it uses less digits than its factorization.

11628345520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 11628345520 in words is "eleven billion, six hundred twenty-eight million, three hundred forty-five thousand, five hundred twenty".