11937765840 has 1280 divisors, whose sum is σ = 54716497920. Its totient is φ = 2070282240.

The previous prime is 11937765787. The next prime is 11937765841. The reversal of 11937765840 is 4856773911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11937765841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 151110921 + ... + 151110999.

It is an arithmetic number, because the mean of its divisors is an integer number (42747264).

Almost surely, 2^11937765840 is an apocalyptic number.

11937765840 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 11937765840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27358248960).

11937765840 is an abundant number, since it is smaller than the sum of its proper divisors (42778732080).

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

11937765840 is a wasteful number, since it uses less digits than its factorization.

11937765840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

It can be divided in two parts, 11937 and 765840, that added together give a palindrome (777777).

The spelling of 11937765840 in words is "eleven billion, nine hundred thirty-seven million, seven hundred sixty-five thousand, eight hundred forty".