11720298240 has 648 divisors, whose sum is σ = 48982293360. Its totient is φ = 2675441664.

The previous prime is 11720298223. The next prime is 11720298241. The reversal of 11720298240 is 4289202711.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11720298195 and 11720298204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11720298241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240576 + ... + 15241344.

Almost surely, 2^11720298240 is an apocalyptic number.

11720298240 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 11720298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24491146680).

11720298240 is an abundant number, since it is smaller than the sum of its proper divisors (37261995120).

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

11720298240 is an frugal number, since it uses more digits than its factorization.

11720298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11720298240 in words is "eleven billion, seven hundred twenty million, two hundred ninety-eight thousand, two hundred forty".