11628848260 has 24 divisors (see below), whose sum is σ = 24525400536. Its totient is φ = 4631573760.

The previous prime is 11628848251. The next prime is 11628848261. The reversal of 11628848260 is 6284882611.

It can be written as a sum of positive squares in 4 ways, for example, as 171714816 + 11457133444 = 13104^2 + 107038^2 .

It is a super-2 number, since 2×11628848260² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11628848260.

It is not an unprimeable number, because it can be changed into a prime (11628848261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1243071 + ... + 1252390.

It is an arithmetic number, because the mean of its divisors is an integer number (1021891689).

Almost surely, 2^11628848260 is an apocalyptic number.

11628848260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11628848260 is an abundant number, since it is smaller than the sum of its proper divisors (12896552276).

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

11628848260 is a wasteful number, since it uses less digits than its factorization.

11628848260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495703 (or 2495701 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 11628848260 in words is "eleven billion, six hundred twenty-eight million, eight hundred forty-eight thousand, two hundred sixty".