58220000640 has 1152 divisors, whose sum is σ = 236800156320. Its totient is φ = 13616087040.

The previous prime is 58220000627. The next prime is 58220000651. The reversal of 58220000640 is 4600002285.

58220000640 is a `hidden beast` number, since 582 + 20 + 0 + 0 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 954426210 + ... + 954426270.

Almost surely, 2^58220000640 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 58220000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118400078160).

58220000640 is an abundant number, since it is smaller than the sum of its proper divisors (178580155680).

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

58220000640 is a wasteful number, since it uses less digits than its factorization.

58220000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 58220000640 in words is "fifty-eight billion, two hundred twenty million, six hundred forty", and thus it is an aban number.