36123360880 has 320 divisors, whose sum is σ = 93894704640. Its totient is φ = 12875563008.

The previous prime is 36123360869. The next prime is 36123360919. The reversal of 36123360880 is 8806332163.

36123360880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 319675704 + ... + 319675816.

It is an arithmetic number, because the mean of its divisors is an integer number (293420952).

Almost surely, 2^36123360880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36123360880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46947352320).

36123360880 is an abundant number, since it is smaller than the sum of its proper divisors (57771343760).

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

36123360880 is a wasteful number, since it uses less digits than its factorization.

36123360880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 36123360880 in words is "thirty-six billion, one hundred twenty-three million, three hundred sixty thousand, eight hundred eighty".