11642511894000 has 640 divisors, whose sum is σ = 40894897225728. Its totient is φ = 2832554188800.

The previous prime is 11642511893983. The next prime is 11642511894047. The reversal of 11642511894000 is 49811524611.

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 127 ways as a sum of consecutive naturals, for example, 2803395924 + ... + 2803400076.

Almost surely, 2^{11642511894000} is an apocalyptic number.

11642511894000 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 11642511894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20447448612864).

11642511894000 is an abundant number, since it is smaller than the sum of its proper divisors (29252385331728).

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

11642511894000 is a wasteful number, since it uses less digits than its factorization.

11642511894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 11642511894000 in words is "eleven trillion, six hundred forty-two billion, five hundred eleven million, eight hundred ninety-four thousand".