5751416517120 has 640 divisors, whose sum is σ = 21538192896000. Its totient is φ = 1450730373120.

The previous prime is 5751416517109. The next prime is 5751416517179. The reversal of 5751416517120 is 217156141575.

5751416517120 is a `hidden beast` number, since 5 + 7 + 5 + 1 + 4 + 1 + 6 + 517 + 120 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 944245275 + ... + 944251365.

It is an arithmetic number, because the mean of its divisors is an integer number (33653426400).

Almost surely, 2^{5751416517120} 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 5751416517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10769096448000).

5751416517120 is an abundant number, since it is smaller than the sum of its proper divisors (15786776378880).

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

5751416517120 is a wasteful number, since it uses less digits than its factorization.

5751416517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6861 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 5751416517120 in words is "five trillion, seven hundred fifty-one billion, four hundred sixteen million, five hundred seventeen thousand, one hundred twenty".