11961432000 has 784 divisors, whose sum is σ = 50931421632. Its totient is φ = 2724710400.

The previous prime is 11961431981. The next prime is 11961432001. The reversal of 11961432000 is 23416911.

11961432000 is a `hidden beast` number, since 1 + 19 + 614 + 32 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11961432001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40823854 + ... + 40824146.

It is an arithmetic number, because the mean of its divisors is an integer number (64963548).

Almost surely, 2^11961432000 is an apocalyptic number.

11961432000 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 11961432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25465710816).

11961432000 is an abundant number, since it is smaller than the sum of its proper divisors (38969989632).

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

11961432000 is an frugal number, since it uses more digits than its factorization.

11961432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 11961432000 its reverse (23416911), we get a palindrome (11984848911).

The spelling of 11961432000 in words is "eleven billion, nine hundred sixty-one million, four hundred thirty-two thousand".