5715410358240 has 1536 divisors, whose sum is σ = 23000437555200. Its totient is φ = 1313335296000.

The previous prime is 5715410358221. The next prime is 5715410358283. The reversal of 5715410358240 is 428530145175.

5715410358240 is a `hidden beast` number, since 5 + 7 + 1 + 54 + 1 + 0 + 358 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10928126619 + ... + 10928127141.

It is an arithmetic number, because the mean of its divisors is an integer number (14974243200).

Almost surely, 2^{5715410358240} 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 5715410358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11500218777600).

5715410358240 is an abundant number, since it is smaller than the sum of its proper divisors (17285027196960).

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

5715410358240 is a wasteful number, since it uses less digits than its factorization.

5715410358240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 5715410358240 in words is "five trillion, seven hundred fifteen billion, four hundred ten million, three hundred fifty-eight thousand, two hundred forty".