5364786803040 has 2880 divisors, whose sum is σ = 24323300084160. Its totient is φ = 1106127912960.

The previous prime is 5364786803023. The next prime is 5364786803053. The reversal of 5364786803040 is 403086874635.

5364786803040 is a `hidden beast` number, since 53 + 6 + 478 + 6 + 80 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 27232420222 + ... + 27232420418.

It is an arithmetic number, because the mean of its divisors is an integer number (8445590307).

Almost surely, 2^{5364786803040} 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 5364786803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12161650042080).

5364786803040 is an abundant number, since it is smaller than the sum of its proper divisors (18958513281120).

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

5364786803040 is a wasteful number, since it uses less digits than its factorization.

5364786803040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 5364786803040 in words is "five trillion, three hundred sixty-four billion, seven hundred eighty-six million, eight hundred three thousand, forty".