11986975377900 has 432 divisors, whose sum is σ = 40118877227520. Its totient is φ = 2983143168000.

The previous prime is 11986975377893. The next prime is 11986975377911. The reversal of 11986975377900 is 977357968911.

11986975377900 is a `hidden beast` number, since 1 + 1 + 9 + 86 + 9 + 7 + 537 + 7 + 9 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1356141681 + ... + 1356150519.

It is an arithmetic number, because the mean of its divisors is an integer number (92867771360).

Almost surely, 2^{11986975377900} is an apocalyptic number.

11986975377900 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 11986975377900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20059438613760).

11986975377900 is an abundant number, since it is smaller than the sum of its proper divisors (28131901849620).

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

11986975377900 is a wasteful number, since it uses less digits than its factorization.

11986975377900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9614 (or 9604 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 72.

The spelling of 11986975377900 in words is "eleven trillion, nine hundred eighty-six billion, nine hundred seventy-five million, three hundred seventy-seven thousand, nine hundred".