58667399647920 has 480 divisors, whose sum is σ = 226549722282624. Its totient is φ = 13327640985600.

The previous prime is 58667399647919. The next prime is 58667399647939. The reversal of 58667399647920 is 2974699376685.

58667399647920 is a `hidden beast` number, since 5 + 8 + 6 + 6 + 7 + 39 + 96 + 479 + 20 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 58667399647920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3017705400 + ... + 3017724840.

Almost surely, 2^{58667399647920} 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 58667399647920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113274861141312).

58667399647920 is an abundant number, since it is smaller than the sum of its proper divisors (167882322634704).

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

58667399647920 is a wasteful number, since it uses less digits than its factorization.

58667399647920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23101 (or 23092 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 81.

The spelling of 58667399647920 in words is "fifty-eight trillion, six hundred sixty-seven billion, three hundred ninety-nine million, six hundred forty-seven thousand, nine hundred twenty".