5167893914640 has 800 divisors, whose sum is σ = 19573522214400. Its totient is φ = 1259308892160.

The previous prime is 5167893914639. The next prime is 5167893914653. The reversal of 5167893914640 is 464193987615.

5167893914640 is a `hidden beast` number, since 5 + 1 + 6 + 7 + 89 + 3 + 91 + 464 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 449259129 + ... + 449270631.

It is an arithmetic number, because the mean of its divisors is an integer number (24466902768).

Almost surely, 2^{5167893914640} 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 5167893914640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9786761107200).

5167893914640 is an abundant number, since it is smaller than the sum of its proper divisors (14405628299760).

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

5167893914640 is a wasteful number, since it uses less digits than its factorization.

5167893914640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11677 (or 11662 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 5167893914640 in words is "five trillion, one hundred sixty-seven billion, eight hundred ninety-three million, nine hundred fourteen thousand, six hundred forty".