5897435765760 has 2640 divisors, whose sum is σ = 26969523829248. Its totient is φ = 1206098657280.

The previous prime is 5897435765719. The next prime is 5897435765761. The reversal of 5897435765760 is 675675347985.

It is a happy number.

5897435765760 is a `hidden beast` number, since 5 + 8 + 9 + 7 + 43 + 5 + 7 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×5897435765760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5897435765761) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 36180587439 + ... + 36180587601.

Almost surely, 2^{5897435765760} 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 5897435765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484761914624).

5897435765760 is an abundant number, since it is smaller than the sum of its proper divisors (21072088063488).

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

5897435765760 is a wasteful number, since it uses less digits than its factorization.

5897435765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1333584000, while the sum is 72.

The spelling of 5897435765760 in words is "five trillion, eight hundred ninety-seven billion, four hundred thirty-five million, seven hundred sixty-five thousand, seven hundred sixty".