11825942768640 has 3520 divisors, whose sum is σ = 57955048639488. Its totient is φ = 2226349670400.

The previous prime is 11825942768621. The next prime is 11825942768663. The reversal of 11825942768640 is 4686724952811.

It is a happy number.

11825942768640 is a `hidden beast` number, since 1 + 1 + 82 + 59 + 427 + 6 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 25323217687 + ... + 25323218153.

Almost surely, 2^{11825942768640} is an apocalyptic number.

11825942768640 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 11825942768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28977524319744).

11825942768640 is an abundant number, since it is smaller than the sum of its proper divisors (46129105870848).

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

11825942768640 is a wasteful number, since it uses less digits than its factorization.

11825942768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 11825942768640 in words is "eleven trillion, eight hundred twenty-five billion, nine hundred forty-two million, seven hundred sixty-eight thousand, six hundred forty".