5093798492160 has 576 divisors, whose sum is σ = 20293287618240. Its totient is φ = 1157541396480.

The previous prime is 5093798492113. The next prime is 5093798492197. The reversal of 5093798492160 is 612948973905.

5093798492160 is a `hidden beast` number, since 5 + 0 + 9 + 379 + 8 + 49 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 111582940 + ... + 111628580.

It is an arithmetic number, because the mean of its divisors is an integer number (35231402115).

It is a 4-persistent number, because k⋅5093798492160 is pandigital for 1 ≤ k ≤ 4, but not for k = 5.

Almost surely, 2^{5093798492160} 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 5093798492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146643809120).

5093798492160 is an abundant number, since it is smaller than the sum of its proper divisors (15199489126080).

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

5093798492160 is a wasteful number, since it uses less digits than its factorization.

5093798492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45854 (or 45831 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 5093798492160 in words is "five trillion, ninety-three billion, seven hundred ninety-eight million, four hundred ninety-two thousand, one hundred sixty".