5109522625440 has 672 divisors, whose sum is σ = 18814041590400. Its totient is φ = 1309137500160.

The previous prime is 5109522625387. The next prime is 5109522625447. The reversal of 5109522625440 is 445262259015.

5109522625440 is a `hidden beast` number, since 5 + 10 + 9 + 5 + 2 + 2 + 625 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×5109522625440² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5109522625447) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 713716581 + ... + 713723739.

It is an arithmetic number, because the mean of its divisors is an integer number (27997085700).

Almost surely, 2^{5109522625440} 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 5109522625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407020795200).

5109522625440 is an abundant number, since it is smaller than the sum of its proper divisors (13704518964960).

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

5109522625440 is a wasteful number, since it uses less digits than its factorization.

5109522625440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7432 (or 7409 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 5109522625440 in words is "five trillion, one hundred nine billion, five hundred twenty-two million, six hundred twenty-five thousand, four hundred forty".