953485586040 has 256 divisors, whose sum is σ = 3111836958720. Its totient is φ = 232324485120.

The previous prime is 953485586023. The next prime is 953485586063. The reversal of 953485586040 is 40685584359.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 90535575 + ... + 90546105.

It is an arithmetic number, because the mean of its divisors is an integer number (12155613120).

Almost surely, 2^953485586040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 953485586040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555918479360).

953485586040 is an abundant number, since it is smaller than the sum of its proper divisors (2158351372680).

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

953485586040 is a wasteful number, since it uses less digits than its factorization.

953485586040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11138 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 953485586040 in words is "nine hundred fifty-three billion, four hundred eighty-five million, five hundred eighty-six thousand, forty".