11836977936480 has 384 divisors, whose sum is σ = 41966302694400. Its totient is φ = 3154615580160.

The previous prime is 11836977936463. The next prime is 11836977936523. The reversal of 11836977936480 is 8463977963811.

It is a happy number.

11836977936480 is a `hidden beast` number, since 1 + 1 + 8 + 36 + 97 + 79 + 364 + 80 = 666.

It is a super-2 number, since 2×11836977936480² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11836977936399 and 11836977936408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633695781 + ... + 633714459.

It is an arithmetic number, because the mean of its divisors is an integer number (109287246600).

Almost surely, 2^{11836977936480} is an apocalyptic number.

11836977936480 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 11836977936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20983151347200).

11836977936480 is an abundant number, since it is smaller than the sum of its proper divisors (30129324757920).

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

11836977936480 is an equidigital number, since it uses as much as digits as its factorization.

11836977936480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20526 (or 20500 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 11836977936480 in words is "eleven trillion, eight hundred thirty-six billion, nine hundred seventy-seven million, nine hundred thirty-six thousand, four hundred eighty".