5261420586240 has 2304 divisors, whose sum is σ = 24368195174400. Its totient is φ = 1043900006400.

The previous prime is 5261420586199. The next prime is 5261420586269. The reversal of 5261420586240 is 426850241625.

5261420586240 is a `hidden beast` number, since 5 + 2 + 6 + 1 + 4 + 20 + 586 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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, 11413059610 + ... + 11413060070.

It is an arithmetic number, because the mean of its divisors is an integer number (10576473600).

Almost surely, 2^{5261420586240} 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 5261420586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184097587200).

5261420586240 is an abundant number, since it is smaller than the sum of its proper divisors (19106774588160).

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

5261420586240 is a wasteful number, since it uses less digits than its factorization.

5261420586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5261420586240 in words is "five trillion, two hundred sixty-one billion, four hundred twenty million, five hundred eighty-six thousand, two hundred forty".