11978551932000 has 192 divisors, whose sum is σ = 39247957764288. Its totient is φ = 3193774080000.

The previous prime is 11978551931993. The next prime is 11978551932037. The reversal of 11978551932000 is 23915587911.

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, 78896160 + ... + 79047840.

It is an arithmetic number, because the mean of its divisors is an integer number (204416446689).

Almost surely, 2^{11978551932000} is an apocalyptic number.

11978551932000 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 11978551932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19623978882144).

11978551932000 is an abundant number, since it is smaller than the sum of its proper divisors (27269405832288).

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

11978551932000 is a wasteful number, since it uses less digits than its factorization.

11978551932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158290 (or 158272 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 51.

The spelling of 11978551932000 in words is "eleven trillion, nine hundred seventy-eight billion, five hundred fifty-one million, nine hundred thirty-two thousand".