5890768496640 has 1152 divisors, whose sum is σ = 22488124932000. Its totient is φ = 1419503468544.

The previous prime is 5890768496617. The next prime is 5890768496681. The reversal of 5890768496640 is 466948670985.

5890768496640 is a `hidden beast` number, since 5 + 8 + 9 + 0 + 76 + 8 + 496 + 64 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1124685702144 + 4766082794496 = 1060512^2 + 2183136^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 14402856756 + ... + 14402857164.

Almost surely, 2^{5890768496640} 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 5890768496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11244062466000).

5890768496640 is an abundant number, since it is smaller than the sum of its proper divisors (16597356435360).

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

5890768496640 is a wasteful number, since it uses less digits than its factorization.

5890768496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 5890768496640 in words is "five trillion, eight hundred ninety billion, seven hundred sixty-eight million, four hundred ninety-six thousand, six hundred forty".