5461821752992 has 144 divisors (see below), whose sum is σ = 11920636256256. Its totient is φ = 2461402944000.

The previous prime is 5461821752951. The next prime is 5461821753001. The reversal of 5461821752992 is 2992571281645.

It is a happy number.

It is a super-2 number, since 2×5461821752992² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5461821752992.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 959389698 + ... + 959395390.

It is an arithmetic number, because the mean of its divisors is an integer number (82782196224).

Almost surely, 2^{5461821752992} 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 5461821752992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960318128128).

5461821752992 is an abundant number, since it is smaller than the sum of its proper divisors (6458814503264).

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

5461821752992 is a wasteful number, since it uses less digits than its factorization.

5461821752992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7803 (or 7784 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 61.

The spelling of 5461821752992 in words is "five trillion, four hundred sixty-one billion, eight hundred twenty-one million, seven hundred fifty-two thousand, nine hundred ninety-two".