11962588228992 has 256 divisors, whose sum is σ = 36172827936000. Its totient is φ = 3939479235072.

The previous prime is 11962588228979. The next prime is 11962588229003. The reversal of 11962588228992 is 29982288526911.

11962588228992 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 258 + 8 + 2 + 289 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11962588228992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22977259 + ... + 23492117.

It is an arithmetic number, because the mean of its divisors is an integer number (141300109125).

Almost surely, 2^{11962588228992} is an apocalyptic number.

11962588228992 is a gapful number since it is divisible by the number (12) 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 11962588228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18086413968000).

11962588228992 is an abundant number, since it is smaller than the sum of its proper divisors (24210239707008).

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

11962588228992 is an frugal number, since it uses more digits than its factorization.

11962588228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514977 (or 514947 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 72.

The spelling of 11962588228992 in words is "eleven trillion, nine hundred sixty-two billion, five hundred eighty-eight million, two hundred twenty-eight thousand, nine hundred ninety-two".