11977338780 has 672 divisors, whose sum is σ = 45691527168. Its totient is φ = 2600294400.

The previous prime is 11977338773. The next prime is 11977338781. The reversal of 11977338780 is 8783377911.

It is a happy number.

11977338780 is a `hidden beast` number, since 1 + 197 + 73 + 387 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11977338781) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 62708485 + ... + 62708675.

It is an arithmetic number, because the mean of its divisors is an integer number (67993344).

Almost surely, 2^11977338780 is an apocalyptic number.

11977338780 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 11977338780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22845763584).

11977338780 is an abundant number, since it is smaller than the sum of its proper divisors (33714188388).

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

11977338780 is a wasteful number, since it uses less digits than its factorization.

11977338780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 11977338780 in words is "eleven billion, nine hundred seventy-seven million, three hundred thirty-eight thousand, seven hundred eighty".