11995651200 has 384 divisors, whose sum is σ = 42826633920. Its totient is φ = 2933637120.

The previous prime is 11995651181. The next prime is 11995651223. The reversal of 11995651200 is 215659911.

11995651200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×11995651200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34569427 + ... + 34569773.

Almost surely, 2^11995651200 is an apocalyptic number.

11995651200 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 11995651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21413316960).

11995651200 is an abundant number, since it is smaller than the sum of its proper divisors (30830982720).

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

11995651200 is a wasteful number, since it uses less digits than its factorization.

11995651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 39.

The spelling of 11995651200 in words is "eleven billion, nine hundred ninety-five million, six hundred fifty-one thousand, two hundred".