5340756640590 has 288 divisors, whose sum is σ = 16368965331264. Its totient is φ = 1183470704640.

The previous prime is 5340756640589. The next prime is 5340756640619. The reversal of 5340756640590 is 950466570435.

5340756640590 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 7 + 5 + 6 + 6 + 40 + 590 = 666.

It is a super-3 number, since 3×5340756640590³ (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 242343052 + ... + 242365088.

It is an arithmetic number, because the mean of its divisors is an integer number (56836685178).

Almost surely, 2^{5340756640590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5340756640590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184482665632).

5340756640590 is an abundant number, since it is smaller than the sum of its proper divisors (11028208690674).

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

5340756640590 is a wasteful number, since it uses less digits than its factorization.

5340756640590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22412 (or 22372 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 5340756640590 in words is "five trillion, three hundred forty billion, seven hundred fifty-six million, six hundred forty thousand, five hundred ninety".