11986747281600 has 1344 divisors, whose sum is σ = 49212059559936. Its totient is φ = 2487099064320.

The previous prime is 11986747281583. The next prime is 11986747281631. The reversal of 11986747281600 is 618274768911.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×11986747281600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7063491952 + ... + 7063493648.

It is an arithmetic number, because the mean of its divisors is an integer number (36616115744).

Almost surely, 2^{11986747281600} is an apocalyptic number.

11986747281600 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 11986747281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24606029779968).

11986747281600 is an abundant number, since it is smaller than the sum of its proper divisors (37225312278336).

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

11986747281600 is a wasteful number, since it uses less digits than its factorization.

11986747281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The spelling of 11986747281600 in words is "eleven trillion, nine hundred eighty-six billion, seven hundred forty-seven million, two hundred eighty-one thousand, six hundred".