5825451810960 has 720 divisors, whose sum is σ = 21271788143424. Its totient is φ = 1481508154368.

The previous prime is 5825451810949. The next prime is 5825451810979. The reversal of 5825451810960 is 690181545285.

5825451810960 is a `hidden beast` number, since 5 + 8 + 2 + 54 + 518 + 10 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5825451810960² (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 a junction number, because it is equal to n+sod(n) for n = 5825451810897 and 5825451810906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4802515314 + ... + 4802516526.

Almost surely, 2^{5825451810960} 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 5825451810960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10635894071712).

5825451810960 is an abundant number, since it is smaller than the sum of its proper divisors (15446336332464).

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

5825451810960 is a wasteful number, since it uses less digits than its factorization.

5825451810960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 5825451810960 in words is "five trillion, eight hundred twenty-five billion, four hundred fifty-one million, eight hundred ten thousand, nine hundred sixty".