18960791040000 has 1300 divisors, whose sum is σ = 71987365263000. Its totient is φ = 4970004480000.

The previous prime is 18960791039989. The next prime is 18960791040001. The reversal of 18960791040000 is 4019706981.

It is a happy number.

18960791040000 is a `hidden beast` number, since 189 + 60 + 7 + 9 + 1 + 0 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18960791040001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 12648959251 + ... + 12648960749.

Almost surely, 2^{18960791040000} is an apocalyptic number.

18960791040000 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 18960791040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35993682631500).

18960791040000 is an abundant number, since it is smaller than the sum of its proper divisors (53026574223000).

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

18960791040000 is an frugal number, since it uses more digits than its factorization.

18960791040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 18960791040000 in words is "eighteen trillion, nine hundred sixty billion, seven hundred ninety-one million, forty thousand".