5157781709940 has 384 divisors, whose sum is σ = 16967321548800. Its totient is φ = 1297145041920.

The previous prime is 5157781709933. The next prime is 5157781709963. The reversal of 5157781709940 is 499071877515.

5157781709940 is a `hidden beast` number, since 5 + 1 + 577 + 8 + 17 + 0 + 9 + 9 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2564783535 + ... + 2564785545.

It is an arithmetic number, because the mean of its divisors is an integer number (44185733200).

Almost surely, 2^{5157781709940} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5157781709940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483660774400).

5157781709940 is an abundant number, since it is smaller than the sum of its proper divisors (11809539838860).

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

5157781709940 is a wasteful number, since it uses less digits than its factorization.

5157781709940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 63.

The spelling of 5157781709940 in words is "five trillion, one hundred fifty-seven billion, seven hundred eighty-one million, seven hundred nine thousand, nine hundred forty".