5262617219040 has 288 divisors, whose sum is σ = 18017375201280. Its totient is φ = 1398785522688.

The previous prime is 5262617219029. The next prime is 5262617219071. The reversal of 5262617219040 is 409127162625.

5262617219040 is a `hidden beast` number, since 5 + 2 + 6 + 2 + 617 + 21 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 625083951 + ... + 625092369.

It is an arithmetic number, because the mean of its divisors is an integer number (62560330560).

Almost surely, 2^{5262617219040} 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 5262617219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008687600640).

5262617219040 is an abundant number, since it is smaller than the sum of its proper divisors (12754757982240).

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

5262617219040 is a wasteful number, since it uses less digits than its factorization.

5262617219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9806 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5262617219040 in words is "five trillion, two hundred sixty-two billion, six hundred seventeen million, two hundred nineteen thousand, forty".