11864007600 has 240 divisors, whose sum is σ = 41002902432. Its totient is φ = 2921185280.

The previous prime is 11864007577. The next prime is 11864007689. The reversal of 11864007600 is 670046811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1075714 + ... + 1086686.

Almost surely, 2^11864007600 is an apocalyptic number.

11864007600 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 11864007600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20501451216).

11864007600 is an abundant number, since it is smaller than the sum of its proper divisors (29138894832).

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

11864007600 is a wasteful number, since it uses less digits than its factorization.

11864007600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11064 (or 11053 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 11864007600 in words is "eleven billion, eight hundred sixty-four million, seven thousand, six hundred".