5395508450640 has 1680 divisors, whose sum is σ = 24518324298240. Its totient is φ = 1090608261120.

The previous prime is 5395508450623. The next prime is 5395508450641. The reversal of 5395508450640 is 460548055935.

5395508450640 is a `hidden beast` number, since 5 + 3 + 9 + 5 + 50 + 84 + 506 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×5395508450640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5395508450641) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1163073441 + ... + 1163078079.

Almost surely, 2^{5395508450640} 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 5395508450640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12259162149120).

5395508450640 is an abundant number, since it is smaller than the sum of its proper divisors (19122815847600).

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

5395508450640 is a wasteful number, since it uses less digits than its factorization.

5395508450640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 5395508450640 in words is "five trillion, three hundred ninety-five billion, five hundred eight million, four hundred fifty thousand, six hundred forty".