5740595471520 has 2304 divisors, whose sum is σ = 26417875341312. Its totient is φ = 1100753141760.

The previous prime is 5740595471509. The next prime is 5740595471521. The reversal of 5740595471520 is 251745950475.

5740595471520 is a `hidden beast` number, since 5 + 7 + 4 + 0 + 595 + 47 + 1 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×5740595471520² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5740595471521) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21183008985 + ... + 21183009255.

It is an arithmetic number, because the mean of its divisors is an integer number (11466091728).

Almost surely, 2^{5740595471520} 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 5740595471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208937670656).

5740595471520 is an abundant number, since it is smaller than the sum of its proper divisors (20677279869792).

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

5740595471520 is a wasteful number, since it uses less digits than its factorization.

5740595471520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 5740595471520 in words is "five trillion, seven hundred forty billion, five hundred ninety-five million, four hundred seventy-one thousand, five hundred twenty".