11936437779840 has 512 divisors, whose sum is σ = 46003838284800. Its totient is φ = 2571601084416.

The previous prime is 11936437779829. The next prime is 11936437779913. The reversal of 11936437779840 is 4897773463911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50187282 + ... + 50424558.

It is an arithmetic number, because the mean of its divisors is an integer number (89851246650).

Almost surely, 2^{11936437779840} is an apocalyptic number.

11936437779840 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 11936437779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23001919142400).

11936437779840 is an abundant number, since it is smaller than the sum of its proper divisors (34067400504960).

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

11936437779840 is a wasteful number, since it uses less digits than its factorization.

11936437779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237522 (or 237510 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 69.

The spelling of 11936437779840 in words is "eleven trillion, nine hundred thirty-six billion, four hundred thirty-seven million, seven hundred seventy-nine thousand, eight hundred forty".