5190893587440 has 240 divisors, whose sum is σ = 19631016677376. Its totient is φ = 1217804889600.

The previous prime is 5190893587417. The next prime is 5190893587447. The reversal of 5190893587440 is 447853980915.

5190893587440 is a `hidden beast` number, since 5 + 1 + 9 + 0 + 8 + 9 + 3 + 587 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5190893587440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5190893587447) 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, 10325704 + ... + 10816743.

Almost surely, 2^{5190893587440} is an apocalyptic number.

It is an amenable number.

5190893587440 is an abundant number, since it is smaller than the sum of its proper divisors (14440123089936).

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

5190893587440 is a wasteful number, since it uses less digits than its factorization.

5190893587440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21142508 (or 21142499 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 5190893587440 in words is "five trillion, one hundred ninety billion, eight hundred ninety-three million, five hundred eighty-seven thousand, four hundred forty".