18107235095040 has 960 divisors, whose sum is σ = 77457355911936. Its totient is φ = 3806803132416.

The previous prime is 18107235095039. The next prime is 18107235095099. The reversal of 18107235095040 is 4059053270181.

18107235095040 is a `hidden beast` number, since 1 + 8 + 107 + 2 + 35 + 0 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 593333862 + ... + 593364378.

Almost surely, 2^{18107235095040} is an apocalyptic number.

18107235095040 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 18107235095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38728677955968).

18107235095040 is an abundant number, since it is smaller than the sum of its proper divisors (59350120816896).

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

18107235095040 is a wasteful number, since it uses less digits than its factorization.

18107235095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30849 (or 30830 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 18107235095040 in words is "eighteen trillion, one hundred seven billion, two hundred thirty-five million, ninety-five thousand, forty".