11642488633200 has 120 divisors (see below), whose sum is σ = 37338293040048. Its totient is φ = 3101040650240.

The previous prime is 11642488633157. The next prime is 11642488633213. The reversal of 11642488633200 is 233688424611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11642488633200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4632087 + ... + 6688886.

Almost surely, 2^{11642488633200} is an apocalyptic number.

11642488633200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11642488633200 is an abundant number, since it is smaller than the sum of its proper divisors (25695804406848).

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

11642488633200 is a wasteful number, since it uses less digits than its factorization.

11642488633200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11321851 (or 11321840 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 11642488633200 in words is "eleven trillion, six hundred forty-two billion, four hundred eighty-eight million, six hundred thirty-three thousand, two hundred".