859415261040 has 720 divisors, whose sum is σ = 3561467944320. Its totient is φ = 184659471360.

The previous prime is 859415261039. The next prime is 859415261057. The reversal of 859415261040 is 40162514958.

859415261040 is a `hidden beast` number, since 8 + 594 + 1 + 5 + 2 + 6 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87807027 + ... + 87816813.

It is an arithmetic number, because the mean of its divisors is an integer number (4946483256).

Almost surely, 2^859415261040 is an apocalyptic number.

859415261040 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 859415261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780733972160).

859415261040 is an abundant number, since it is smaller than the sum of its proper divisors (2702052683280).

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

859415261040 is a wasteful number, since it uses less digits than its factorization.

859415261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9970 (or 9954 counting only the distinct ones).

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

Adding to 859415261040 its reverse (40162514958), we get a palindrome (899577775998).

The spelling of 859415261040 in words is "eight hundred fifty-nine billion, four hundred fifteen million, two hundred sixty-one thousand, forty".