5157218778624 has 320 divisors, whose sum is σ = 17530029792000. Its totient is φ = 1480540446720.

The previous prime is 5157218778589. The next prime is 5157218778703. The reversal of 5157218778624 is 4268778127515.

5157218778624 is a `hidden beast` number, since 51 + 572 + 1 + 8 + 7 + 7 + 8 + 6 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1996722 + ... + 3781710.

It is an arithmetic number, because the mean of its divisors is an integer number (54781343100).

Almost surely, 2^{5157218778624} is an apocalyptic number.

5157218778624 is a gapful number since it is divisible by the number (54) 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 5157218778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8765014896000).

5157218778624 is an abundant number, since it is smaller than the sum of its proper divisors (12372811013376).

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

5157218778624 is a wasteful number, since it uses less digits than its factorization.

5157218778624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785046 (or 1785024 counting only the distinct ones).

The product of its digits is 52684800, while the sum is 63.

The spelling of 5157218778624 in words is "five trillion, one hundred fifty-seven billion, two hundred eighteen million, seven hundred seventy-eight thousand, six hundred twenty-four".