5902689466440 has 192 divisors, whose sum is σ = 20661294129840. Its totient is φ = 1452837427200.

The previous prime is 5902689466433. The next prime is 5902689466441. The reversal of 5902689466440 is 446649862095.

5902689466440 is a `hidden beast` number, since 5 + 90 + 2 + 6 + 89 + 466 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 801587158596 + 5101102307844 = 895314^2 + 2258562^2 .

It is not an unprimeable number, because it can be changed into a prime (5902689466441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57517414 + ... + 57619946.

Almost surely, 2^{5902689466440} 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 5902689466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330647064920).

5902689466440 is an abundant number, since it is smaller than the sum of its proper divisors (14758604663400).

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

5902689466440 is a wasteful number, since it uses less digits than its factorization.

5902689466440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114864 (or 114857 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 5902689466440 in words is "five trillion, nine hundred two billion, six hundred eighty-nine million, four hundred sixty-six thousand, four hundred forty".