5096079360000 has 780 divisors, whose sum is σ = 19077976009092. Its totient is φ = 1358954496000.

The previous prime is 5096079359977. The next prime is 5096079360083. The reversal of 5096079360000 is 639706905.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (5!)³ ⋅ (2!)¹².

5096079360000 is a `hidden beast` number, since 5 + 0 + 9 + 607 + 9 + 36 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1019215871998 + ... + 1019215872002.

Almost surely, 2^{5096079360000} is an apocalyptic number.

5096079360000 is a gapful number since it is divisible by the number (50) 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 5096079360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538988004546).

5096079360000 is an abundant number, since it is smaller than the sum of its proper divisors (13981896649092).

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

5096079360000 is an frugal number, since it uses more digits than its factorization.

5096079360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 5096079360000 in words is "five trillion, ninety-six billion, seventy-nine million, three hundred sixty thousand".