5958152640 has 280 divisors, whose sum is σ = 23122048752. Its totient is φ = 1444331520.

The previous prime is 5958152623. The next prime is 5958152647. The reversal of 5958152640 is 462518595.

5958152640 is a `hidden beast` number, since 5 + 9 + 5 + 81 + 526 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5958152647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 274672 + ... + 295568.

Almost surely, 2^5958152640 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 5958152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11561024376).

5958152640 is an abundant number, since it is smaller than the sum of its proper divisors (17163896112).

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

5958152640 is a wasteful number, since it uses less digits than its factorization.

5958152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20937 (or 20918 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 5958152640 is about 77189.0707289575. The cubic root of 5958152640 is about 1812.8861942980.

The spelling of 5958152640 in words is "five billion, nine hundred fifty-eight million, one hundred fifty-two thousand, six hundred forty".