5195838928896 has 1920 divisors, whose sum is σ = 20701384704000. Its totient is φ = 1257696460800.

The previous prime is 5195838928837. The next prime is 5195838928919. The reversal of 5195838928896 is 6988298385915.

5195838928896 is a `hidden beast` number, since 5 + 1 + 9 + 583 + 8 + 9 + 28 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×5195838928896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19172837241 + ... + 19172837511.

It is an arithmetic number, because the mean of its divisors is an integer number (10781971200).

Almost surely, 2^{5195838928896} is an apocalyptic number.

5195838928896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5195838928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10350692352000).

5195838928896 is an abundant number, since it is smaller than the sum of its proper divisors (15505545775104).

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

5195838928896 is a wasteful number, since it uses less digits than its factorization.

5195838928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 392 counting only the distinct ones).

The product of its digits is 2687385600, while the sum is 81.

The spelling of 5195838928896 in words is "five trillion, one hundred ninety-five billion, eight hundred thirty-eight million, nine hundred twenty-eight thousand, eight hundred ninety-six".