11962823040 has 256 divisors, whose sum is σ = 48421440000. Its totient is φ = 2734331904.

The previous prime is 11962823021. The next prime is 11962823069. The reversal of 11962823040 is 4032826911.

11962823040 is a `hidden beast` number, since 1 + 1 + 9 + 628 + 23 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11962822986 and 11962823004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71511 + ... + 170409.

It is an arithmetic number, because the mean of its divisors is an integer number (189146250).

Almost surely, 2^11962823040 is an apocalyptic number.

11962823040 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 11962823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24210720000).

11962823040 is an abundant number, since it is smaller than the sum of its proper divisors (36458616960).

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

11962823040 is an equidigital number, since it uses as much as digits as its factorization.

11962823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98934 (or 98916 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11962823040 in words is "eleven billion, nine hundred sixty-two million, eight hundred twenty-three thousand, forty".