11873927520 has 1152 divisors, whose sum is σ = 53539799040. Its totient is φ = 2329067520.

The previous prime is 11873927519. The next prime is 11873927563. The reversal of 11873927520 is 2572937811.

11873927520 is a `hidden beast` number, since 11 + 87 + 39 + 2 + 7 + 520 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150302841 + ... + 150302919.

It is an arithmetic number, because the mean of its divisors is an integer number (46475520).

Almost surely, 2^11873927520 is an apocalyptic number.

11873927520 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 11873927520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26769899520).

11873927520 is an abundant number, since it is smaller than the sum of its proper divisors (41665871520).

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

11873927520 is a wasteful number, since it uses less digits than its factorization.

11873927520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11873927520 in words is "eleven billion, eight hundred seventy-three million, nine hundred twenty-seven thousand, five hundred twenty".