805190538240 has 264 divisors, whose sum is σ = 3043599275808. Its totient is φ = 195197583360.

The previous prime is 805190538223. The next prime is 805190538241. The reversal of 805190538240 is 42835091508.

805190538240 is a `hidden beast` number, since 8 + 0 + 5 + 1 + 90 + 538 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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 (805190538241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287382 + ... + 1301141.

Almost surely, 2^805190538240 is an apocalyptic number.

805190538240 is a gapful number since it is divisible by the number (80) 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 805190538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521799637904).

805190538240 is an abundant number, since it is smaller than the sum of its proper divisors (2238408737568).

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

805190538240 is a wasteful number, since it uses less digits than its factorization.

805190538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588565 (or 1588544 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 805190538240 in words is "eight hundred five billion, one hundred ninety million, five hundred thirty-eight thousand, two hundred forty".