11955962880 has 440 divisors, whose sum is σ = 43370984448. Its totient is φ = 3149217792.

The previous prime is 11955962873. The next prime is 11955962881. The reversal of 11955962880 is 8826955911.

11955962880 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 5 + 9 + 628 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11955962881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52669327 + ... + 52669553.

Almost surely, 2^11955962880 is an apocalyptic number.

11955962880 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 11955962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21685492224).

11955962880 is an abundant number, since it is smaller than the sum of its proper divisors (31415021568).

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

11955962880 is a wasteful number, since it uses less digits than its factorization.

11955962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 11955962880 in words is "eleven billion, nine hundred fifty-five million, nine hundred sixty-two thousand, eight hundred eighty".