58435900778640 has 320 divisors, whose sum is σ = 226011354347520. Its totient is φ = 12133901598720.

The previous prime is 58435900778603. The next prime is 58435900778677. The reversal of 58435900778640 is 4687700953485.

58435900778640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58435900778603) and next prime (58435900778677).

It is a super-2 number, since 2×58435900778640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24916207 + ... + 27160433.

It is an arithmetic number, because the mean of its divisors is an integer number (706285482336).

Almost surely, 2^{58435900778640} 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 58435900778640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113005677173760).

58435900778640 is an abundant number, since it is smaller than the sum of its proper divisors (167575453568880).

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

58435900778640 is a wasteful number, since it uses less digits than its factorization.

58435900778640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245670 (or 2245664 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 58435900778640 in words is "fifty-eight trillion, four hundred thirty-five billion, nine hundred million, seven hundred seventy-eight thousand, six hundred forty".