5864978903040 has 1248 divisors, whose sum is σ = 22374719078400. Its totient is φ = 1415436042240.

The previous prime is 5864978902961. The next prime is 5864978903057. The reversal of 5864978903040 is 403098794685.

5864978903040 is a `hidden beast` number, since 58 + 6 + 497 + 8 + 90 + 3 + 0 + 4 + 0 = 666.

It is a congruent number.

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, 9662238417 + ... + 9662239023.

It is an arithmetic number, because the mean of its divisors is an integer number (17928460800).

Almost surely, 2^{5864978903040} 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 5864978903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11187359539200).

5864978903040 is an abundant number, since it is smaller than the sum of its proper divisors (16509740175360).

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

5864978903040 is a wasteful number, since it uses less digits than its factorization.

5864978903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 5864978903040 in words is "five trillion, eight hundred sixty-four billion, nine hundred seventy-eight million, nine hundred three thousand, forty".