5751189910656 has 384 divisors, whose sum is σ = 18078425164800. Its totient is φ = 1814905709568.

The previous prime is 5751189910643. The next prime is 5751189910657. The reversal of 5751189910656 is 6560199811575.

5751189910656 is a `hidden beast` number, since 5 + 7 + 511 + 8 + 9 + 9 + 106 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 5751189910593 and 5751189910602.

It is not an unprimeable number, because it can be changed into a prime (5751189910657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1233364581 + ... + 1233369243.

It is an arithmetic number, because the mean of its divisors is an integer number (47079232200).

Almost surely, 2^{5751189910656} 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 5751189910656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039212582400).

5751189910656 is an abundant number, since it is smaller than the sum of its proper divisors (12327235254144).

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

5751189910656 is a wasteful number, since it uses less digits than its factorization.

5751189910656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6798 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 63.

The spelling of 5751189910656 in words is "five trillion, seven hundred fifty-one billion, one hundred eighty-nine million, nine hundred ten thousand, six hundred fifty-six".