11907846720 has 672 divisors, whose sum is σ = 53330002560. Its totient is φ = 2473390080.

The previous prime is 11907846719. The next prime is 11907846757. The reversal of 11907846720 is 2764870911.

It is a happy number.

11907846720 is a `hidden beast` number, since 11 + 90 + 78 + 467 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4655682 + ... + 4658238.

Almost surely, 2^11907846720 is an apocalyptic number.

11907846720 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 11907846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26665001280).

11907846720 is an abundant number, since it is smaller than the sum of its proper divisors (41422155840).

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

11907846720 is a wasteful number, since it uses less digits than its factorization.

11907846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11907846720 in words is "eleven billion, nine hundred seven million, eight hundred forty-six thousand, seven hundred twenty".