11958620678928 has 960 divisors, whose sum is σ = 43024230273024. Its totient is φ = 3011323392000.

The previous prime is 11958620678911. The next prime is 11958620678929. The reversal of 11958620678928 is 82987602685911.

11958620678928 is a `hidden beast` number, since 1 + 19 + 586 + 2 + 0 + 6 + 7 + 8 + 9 + 28 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (11958620678929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25940608618 + ... + 25940609078.

Almost surely, 2^{11958620678928} is an apocalyptic number.

11958620678928 is a gapful number since it is divisible by the number (18) 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 11958620678928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21512115136512).

11958620678928 is an abundant number, since it is smaller than the sum of its proper divisors (31065609594096).

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

11958620678928 is a wasteful number, since it uses less digits than its factorization.

11958620678928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 11958620678928 in words is "eleven trillion, nine hundred fifty-eight billion, six hundred twenty million, six hundred seventy-eight thousand, nine hundred twenty-eight".