11761223040 has 384 divisors, whose sum is σ = 47370024000. Its totient is φ = 2687827968.

The previous prime is 11761223011. The next prime is 11761223069. The reversal of 11761223040 is 4032216711.

11761223040 is a `hidden beast` number, since 1 + 1 + 7 + 612 + 2 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11761223011) and next prime (11761223069).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 11761222995 and 11761223013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1972704 + ... + 1978656.

Almost surely, 2^11761223040 is an apocalyptic number.

11761223040 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 11761223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23685012000).

11761223040 is an abundant number, since it is smaller than the sum of its proper divisors (35608800960).

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

11761223040 is an equidigital number, since it uses as much as digits as its factorization.

11761223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5999 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 11761223040 its reverse (4032216711), we get a palindrome (15793439751).

The spelling of 11761223040 in words is "eleven billion, seven hundred sixty-one million, two hundred twenty-three thousand, forty".