5457950346240 has 3520 divisors, whose sum is σ = 25209384710400. Its totient is φ = 1123685498880.

The previous prime is 5457950346209. The next prime is 5457950346253. The reversal of 5457950346240 is 426430597545.

It is a happy number.

5457950346240 is a `hidden beast` number, since 5 + 4 + 5 + 7 + 9 + 5 + 0 + 3 + 4 + 624 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 89474595810 + ... + 89474595870.

It is an arithmetic number, because the mean of its divisors is an integer number (7161757020).

Almost surely, 2^{5457950346240} 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 5457950346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604692355200).

5457950346240 is an abundant number, since it is smaller than the sum of its proper divisors (19751434364160).

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

5457950346240 is a wasteful number, since it uses less digits than its factorization.

5457950346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 5457950346240 in words is "five trillion, four hundred fifty-seven billion, nine hundred fifty million, three hundred forty-six thousand, two hundred forty".