5742866369520 has 960 divisors, whose sum is σ = 23349476966400. Its totient is φ = 1263509452800.

The previous prime is 5742866369477. The next prime is 5742866369521. The reversal of 5742866369520 is 259636682475.

5742866369520 is a `hidden beast` number, since 5 + 7 + 42 + 8 + 6 + 6 + 3 + 69 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742866369521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 708030265 + ... + 708038375.

It is an arithmetic number, because the mean of its divisors is an integer number (24322371840).

Almost surely, 2^{5742866369520} 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 5742866369520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11674738483200).

5742866369520 is an abundant number, since it is smaller than the sum of its proper divisors (17606610596880).

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

5742866369520 is a wasteful number, since it uses less digits than its factorization.

5742866369520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 5742866369520 in words is "five trillion, seven hundred forty-two billion, eight hundred sixty-six million, three hundred sixty-nine thousand, five hundred twenty".