5457149621280 has 768 divisors, whose sum is σ = 23006301696000. Its totient is φ = 1180216147968.

The previous prime is 5457149621237. The next prime is 5457149621281. The reversal of 5457149621280 is 821269417545.

5457149621280 is a `hidden beast` number, since 5 + 4 + 5 + 7 + 1 + 4 + 9 + 621 + 2 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5457149621281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 493541512 + ... + 493552568.

It is an arithmetic number, because the mean of its divisors is an integer number (29956122000).

Almost surely, 2^{5457149621280} 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 5457149621280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503150848000).

5457149621280 is an abundant number, since it is smaller than the sum of its proper divisors (17549152074720).

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

5457149621280 is a wasteful number, since it uses less digits than its factorization.

5457149621280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5457149621280 in words is "five trillion, four hundred fifty-seven billion, one hundred forty-nine million, six hundred twenty-one thousand, two hundred eighty".