11837125080 has 384 divisors, whose sum is σ = 43666560000. Its totient is φ = 2850059520.

The previous prime is 11837125073. The next prime is 11837125081. The reversal of 11837125080 is 8052173811.

11837125080 is a `hidden beast` number, since 1 + 1 + 83 + 71 + 2 + 508 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11837125081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31232331 + ... + 31232709.

It is an arithmetic number, because the mean of its divisors is an integer number (113715000).

Almost surely, 2^11837125080 is an apocalyptic number.

11837125080 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 11837125080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833280000).

11837125080 is an abundant number, since it is smaller than the sum of its proper divisors (31829434920).

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

11837125080 is a wasteful number, since it uses less digits than its factorization.

11837125080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 11837125080 its reverse (8052173811), we get a palindrome (19889298891).

The spelling of 11837125080 in words is "eleven billion, eight hundred thirty-seven million, one hundred twenty-five thousand, eighty".