5157074624000 has 640 divisors, whose sum is σ = 14476965414912. Its totient is φ = 1819702886400.

The previous prime is 5157074623949. The next prime is 5157074624027. The reversal of 5157074624000 is 4264707515.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1681470467 + ... + 1681473533.

Almost surely, 2^{5157074624000} is an apocalyptic number.

5157074624000 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 5157074624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238482707456).

5157074624000 is an abundant number, since it is smaller than the sum of its proper divisors (9319890790912).

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

5157074624000 is a wasteful number, since it uses less digits than its factorization.

5157074624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 5157074624000 in words is "five trillion, one hundred fifty-seven billion, seventy-four million, six hundred twenty-four thousand".