11953812780 has 432 divisors, whose sum is σ = 45546621120. Its totient is φ = 2484338688.

The previous prime is 11953812757. The next prime is 11953812791. The reversal of 11953812780 is 8721835911.

11953812780 is a `hidden beast` number, since 1 + 19 + 538 + 1 + 27 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15544236 + ... + 15545004.

Almost surely, 2^11953812780 is an apocalyptic number.

11953812780 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 11953812780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22773310560).

11953812780 is an abundant number, since it is smaller than the sum of its proper divisors (33592808340).

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

11953812780 is a wasteful number, since it uses less digits than its factorization.

11953812780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 11953812780 in words is "eleven billion, nine hundred fifty-three million, eight hundred twelve thousand, seven hundred eighty".