5357975040 has 720 divisors, whose sum is σ = 21745460880. Its totient is φ = 1254113280.

The previous prime is 5357975023. The next prime is 5357975041. The reversal of 5357975040 is 405797535.

5357975040 is a `hidden beast` number, since 5 + 3 + 57 + 97 + 504 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5357975041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184757746 + ... + 184757774.

It is an arithmetic number, because the mean of its divisors is an integer number (30202029).

Almost surely, 2^5357975040 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 5357975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872730440).

5357975040 is an abundant number, since it is smaller than the sum of its proper divisors (16387485840).

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

5357975040 is an frugal number, since it uses more digits than its factorization.

5357975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The square root of 5357975040 is about 73198.1901415602. The cubic root of 5357975040 is about 1749.8476101316.

The spelling of 5357975040 in words is "five billion, three hundred fifty-seven million, nine hundred seventy-five thousand, forty".