11977361136000 has 1536 divisors, whose sum is σ = 50131568148480. Its totient is φ = 2819813990400.

The previous prime is 11977361135947. The next prime is 11977361136061. The reversal of 11977361136000 is 63116377911.

11977361136000 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 7 + 36 + 1 + 1 + 3 + 600 + 0 = 666.

It is a super-3 number, since 3×11977361136000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 1162506849 + ... + 1162517151.

It is an arithmetic number, because the mean of its divisors is an integer number (32637739680).

Almost surely, 2^{11977361136000} is an apocalyptic number.

11977361136000 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 11977361136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25065784074240).

11977361136000 is an abundant number, since it is smaller than the sum of its proper divisors (38154207012480).

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

11977361136000 is a wasteful number, since it uses less digits than its factorization.

11977361136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 11977361136000 in words is "eleven trillion, nine hundred seventy-seven billion, three hundred sixty-one million, one hundred thirty-six thousand".