5951725361280 has 896 divisors, whose sum is σ = 22652853718320. Its totient is φ = 1489456594944.

The previous prime is 5951725361269. The next prime is 5951725361311. The reversal of 5951725361280 is 821635271595.

5951725361280 is a `hidden beast` number, since 5 + 9 + 5 + 17 + 2 + 5 + 3 + 612 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1965761027136 + 3985964334144 = 1402056^2 + 1996488^2 .

It is a super-2 number, since 2×5951725361280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3434347294 + ... + 3434349026.

Almost surely, 2^{5951725361280} 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 5951725361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326426859160).

5951725361280 is an abundant number, since it is smaller than the sum of its proper divisors (16701128357040).

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

5951725361280 is a wasteful number, since it uses less digits than its factorization.

5951725361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 5951725361280 in words is "five trillion, nine hundred fifty-one billion, seven hundred twenty-five million, three hundred sixty-one thousand, two hundred eighty".