11906250720 has 768 divisors, whose sum is σ = 48649144320. Its totient is φ = 2380824576.

The previous prime is 11906250709. The next prime is 11906250721. The reversal of 11906250720 is 2705260911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11906250721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85656411 + ... + 85656549.

It is an arithmetic number, because the mean of its divisors is an integer number (63345240).

Almost surely, 2^11906250720 is an apocalyptic number.

11906250720 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 11906250720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24324572160).

11906250720 is an abundant number, since it is smaller than the sum of its proper divisors (36742893600).

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

11906250720 is a wasteful number, since it uses less digits than its factorization.

11906250720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 11906250720 in words is "eleven billion, nine hundred six million, two hundred fifty thousand, seven hundred twenty".