5760025618368 has 336 divisors, whose sum is σ = 19165689156480. Its totient is φ = 1516964972544.

The previous prime is 5760025618301. The next prime is 5760025618381. The reversal of 5760025618368 is 8638165200675.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6178371 + ... + 7049277.

Almost surely, 2^{5760025618368} 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 5760025618368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9582844578240).

5760025618368 is an abundant number, since it is smaller than the sum of its proper divisors (13405663538112).

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

5760025618368 is a wasteful number, since it uses less digits than its factorization.

5760025618368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870992 (or 870975 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 5760025618368 in words is "five trillion, seven hundred sixty billion, twenty-five million, six hundred eighteen thousand, three hundred sixty-eight".