11828516640 has 48 divisors (see below), whose sum is σ = 37259828928. Its totient is φ = 3154270976.

The previous prime is 11828516611. The next prime is 11828516641. The reversal of 11828516640 is 4661582811.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11828516592 and 11828516601.

It is not an unprimeable number, because it can be changed into a prime (11828516641) 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, 12320892 + ... + 12321851.

It is an arithmetic number, because the mean of its divisors is an integer number (776246436).

Almost surely, 2^11828516640 is an apocalyptic number.

11828516640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11828516640 is an abundant number, since it is smaller than the sum of its proper divisors (25431312288).

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

11828516640 is a wasteful number, since it uses less digits than its factorization.

11828516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24642761 (or 24642753 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 11828516640 in words is "eleven billion, eight hundred twenty-eight million, five hundred sixteen thousand, six hundred forty".