11961359424 has 525 divisors, whose sum is σ = 42741666231. Its totient is φ = 3307288320.

The previous prime is 11961359419. The next prime is 11961359429. The reversal of 11961359424 is 42495316911.

The square root of 11961359424 is 109368.

It is a perfect power (a square), and thus also a powerful number.

11961359424 is a `hidden beast` number, since 1 + 1 + 9 + 613 + 5 + 9 + 4 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (11961359419) and next prime (11961359429).

It is a super-2 number, since 2×11961359424² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11961359424.

It is not an unprimeable number, because it can be changed into a prime (11961359429) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 385850289 + ... + 385850319.

Almost surely, 2^11961359424 is an apocalyptic number.

11961359424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11961359424 is the 109368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11961359424

11961359424 is an abundant number, since it is smaller than the sum of its proper divisors (30780306807).

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

11961359424 is an frugal number, since it uses more digits than its factorization.

11961359424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 43 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 11961359424 in words is "eleven billion, nine hundred sixty-one million, three hundred fifty-nine thousand, four hundred twenty-four".