18750191040 has 1344 divisors, whose sum is σ = 84319872000. Its totient is φ = 3950456832.

The previous prime is 18750191029. The next prime is 18750191081. The reversal of 18750191040 is 4019105781.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 18750190986 and 18750191004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 506761902 + ... + 506761938.

It is an arithmetic number, because the mean of its divisors is an integer number (62738000).

Almost surely, 2^18750191040 is an apocalyptic number.

18750191040 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 18750191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42159936000).

18750191040 is an abundant number, since it is smaller than the sum of its proper divisors (65569680960).

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

18750191040 is an equidigital number, since it uses as much as digits as its factorization.

18750191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 18750191040 in words is "eighteen billion, seven hundred fifty million, one hundred ninety-one thousand, forty".