905493057840 has 2160 divisors, whose sum is σ = 4131637567200. Its totient is φ = 182849716224.

The previous prime is 905493057797. The next prime is 905493057871. The reversal of 905493057840 is 48750394509.

905493057840 is a `hidden beast` number, since 9 + 0 + 549 + 3 + 0 + 57 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 431 ways as a sum of consecutive naturals, for example, 8307275706 + ... + 8307275814.

It is an arithmetic number, because the mean of its divisors is an integer number (1912795170).

Almost surely, 2^905493057840 is an apocalyptic number.

905493057840 is a gapful number since it is divisible by the number (90) 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 905493057840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065818783600).

905493057840 is an abundant number, since it is smaller than the sum of its proper divisors (3226144509360).

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

905493057840 is a wasteful number, since it uses less digits than its factorization.

905493057840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 905493057840 in words is "nine hundred five billion, four hundred ninety-three million, fifty-seven thousand, eight hundred forty".