11945927520 has 192 divisors, whose sum is σ = 41912640000. Its totient is φ = 3177819648.

The previous prime is 11945927509. The next prime is 11945927563. The reversal of 11945927520 is 2572954911.

11945927520 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 592 + 7 + 52 + 0 = 666.

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

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, 1893331 + ... + 1899629.

It is an arithmetic number, because the mean of its divisors is an integer number (218295000).

Almost surely, 2^11945927520 is an apocalyptic number.

11945927520 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 11945927520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956320000).

11945927520 is an abundant number, since it is smaller than the sum of its proper divisors (29966712480).

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

11945927520 is a wasteful number, since it uses less digits than its factorization.

11945927520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 11945927520 in words is "eleven billion, nine hundred forty-five million, nine hundred twenty-seven thousand, five hundred twenty".