5461852950288 has 960 divisors, whose sum is σ = 20261468897280. Its totient is φ = 1335630643200.

The previous prime is 5461852950287. The next prime is 5461852950311. The reversal of 5461852950288 is 8820592581645.

It is a happy number.

5461852950288 is a `hidden beast` number, since 5 + 4 + 61 + 8 + 5 + 295 + 0 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5461852950287) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1281822078 + ... + 1281826338.

It is an arithmetic number, because the mean of its divisors is an integer number (21105696768).

Almost surely, 2^{5461852950288} 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 5461852950288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10130734448640).

5461852950288 is an abundant number, since it is smaller than the sum of its proper divisors (14799615946992).

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

5461852950288 is a wasteful number, since it uses less digits than its factorization.

5461852950288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 5461852950288 in words is "five trillion, four hundred sixty-one billion, eight hundred fifty-two million, nine hundred fifty thousand, two hundred eighty-eight".