5970655718352 has 1680 divisors, whose sum is σ = 21390007201920. Its totient is φ = 1598994432000.

The previous prime is 5970655718341. The next prime is 5970655718413. The reversal of 5970655718352 is 2538175560795.

5970655718352 is a `hidden beast` number, since 5 + 9 + 7 + 0 + 6 + 5 + 571 + 8 + 3 + 52 = 666.

It is a super-4 number, since 4×5970655718352⁴ (a number of 52 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5970655718352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 59115403102 + ... + 59115403202.

It is an arithmetic number, because the mean of its divisors is an integer number (12732147144).

Almost surely, 2^{5970655718352} is an apocalyptic number.

5970655718352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5970655718352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10695003600960).

5970655718352 is an abundant number, since it is smaller than the sum of its proper divisors (15419351483568).

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

5970655718352 is a wasteful number, since it uses less digits than its factorization.

5970655718352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 79380000, while the sum is 63.

The spelling of 5970655718352 in words is "five trillion, nine hundred seventy billion, six hundred fifty-five million, seven hundred eighteen thousand, three hundred fifty-two".