5382689034240 has 2496 divisors, whose sum is σ = 23957141644800. Its totient is φ = 1131329617920.

The previous prime is 5382689034187. The next prime is 5382689034287. The reversal of 5382689034240 is 424309862835.

5382689034240 is a `hidden beast` number, since 5 + 38 + 268 + 9 + 0 + 342 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36125429686 + ... + 36125429834.

It is an arithmetic number, because the mean of its divisors is an integer number (9598213800).

Almost surely, 2^{5382689034240} 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 5382689034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978570822400).

5382689034240 is an abundant number, since it is smaller than the sum of its proper divisors (18574452610560).

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

5382689034240 is a wasteful number, since it uses less digits than its factorization.

5382689034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 5382689034240 in words is "five trillion, three hundred eighty-two billion, six hundred eighty-nine million, thirty-four thousand, two hundred forty".