5902232117760 has 960 divisors, whose sum is σ = 23299643727360. Its totient is φ = 1367654400000.

The previous prime is 5902232117759. The next prime is 5902232117773. The reversal of 5902232117760 is 677112322095.

It is a happy number.

5902232117760 is a `hidden beast` number, since 5 + 90 + 223 + 211 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 742321785 + ... + 742329735.

It is an arithmetic number, because the mean of its divisors is an integer number (24270462216).

Almost surely, 2^{5902232117760} 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 5902232117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649821863680).

5902232117760 is an abundant number, since it is smaller than the sum of its proper divisors (17397411609600).

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

5902232117760 is a wasteful number, since it uses less digits than its factorization.

5902232117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 5902232117760 in words is "five trillion, nine hundred two billion, two hundred thirty-two million, one hundred seventeen thousand, seven hundred sixty".