5741936282880 has 1296 divisors, whose sum is σ = 23444706776400. Its totient is φ = 1293609074688.

The previous prime is 5741936282879. The next prime is 5741936282881. The reversal of 5741936282880 is 882826391475.

5741936282880 is a `hidden beast` number, since 5 + 7 + 419 + 3 + 62 + 82 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5741936282879) and next prime (5741936282881).

It can be written as a sum of positive squares in 8 ways, for example, as 168861821184 + 5573074461696 = 410928^2 + 2360736^2 .

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 (5741936282881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19597052014 + ... + 19597052306.

It is an arithmetic number, because the mean of its divisors is an integer number (18090051525).

It is a 1-persistent number, because it is pandigital, but 2⋅5741936282880 = 11483872565760 is not.

Almost surely, 2^{5741936282880} 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 5741936282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11722353388200).

5741936282880 is an abundant number, since it is smaller than the sum of its proper divisors (17702770493520).

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

5741936282880 is a wasteful number, since it uses less digits than its factorization.

5741936282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 5741936282880 in words is "five trillion, seven hundred forty-one billion, nine hundred thirty-six million, two hundred eighty-two thousand, eight hundred eighty".