11927405952000 has 4224 divisors, whose sum is σ = 59061602995200. Its totient is φ = 2341011456000.

The previous prime is 11927405951969. The next prime is 11927405952037. The reversal of 11927405952000 is 25950472911.

11927405952000 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 74 + 0 + 59 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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 383 ways as a sum of consecutive naturals, for example, 35392895832 + ... + 35392896168.

Almost surely, 2^{11927405952000} is an apocalyptic number.

11927405952000 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 11927405952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29530801497600).

11927405952000 is an abundant number, since it is smaller than the sum of its proper divisors (47134197043200).

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

11927405952000 is a wasteful number, since it uses less digits than its factorization.

11927405952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 384 counting only the distinct ones).

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

The spelling of 11927405952000 in words is "eleven trillion, nine hundred twenty-seven billion, four hundred five million, nine hundred fifty-two thousand".