5157517320000 has 1120 divisors, whose sum is σ = 20485844931200. Its totient is φ = 1267550208000.

The previous prime is 5157517319987. The next prime is 5157517320013. The reversal of 5157517320000 is 237157515.

It is a happy number.

5157517320000 is a `hidden beast` number, since 51 + 575 + 1 + 7 + 32 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5157517319987) and next prime (5157517320013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 759236604 + ... + 759243396.

Almost surely, 2^{5157517320000} is an apocalyptic number.

5157517320000 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 5157517320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10242922465600).

5157517320000 is an abundant number, since it is smaller than the sum of its proper divisors (15328327611200).

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

5157517320000 is a wasteful number, since it uses less digits than its factorization.

5157517320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The spelling of 5157517320000 in words is "five trillion, one hundred fifty-seven billion, five hundred seventeen million, three hundred twenty thousand".