11997296640 has 384 divisors, whose sum is σ = 48746880000. Its totient is φ = 2741796864.

The previous prime is 11997296621. The next prime is 11997296737. The reversal of 11997296640 is 4669279911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1932261 + ... + 1938459.

It is an arithmetic number, because the mean of its divisors is an integer number (126945000).

Almost surely, 2^11997296640 is an apocalyptic number.

11997296640 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 11997296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440000).

11997296640 is an abundant number, since it is smaller than the sum of its proper divisors (36749583360).

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

11997296640 is an equidigital number, since it uses as much as digits as its factorization.

11997296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

It can be divided in two parts, 119972 and 96640, that added together give a palindrome (216612).

The spelling of 11997296640 in words is "eleven billion, nine hundred ninety-seven million, two hundred ninety-six thousand, six hundred forty".