58920162799680 has 1344 divisors, whose sum is σ = 261575953067520. Its totient is φ = 12291695640576.

The previous prime is 58920162799669. The next prime is 58920162799739. The reversal of 58920162799680 is 8699726102985.

58920162799680 is a `hidden beast` number, since 589 + 2 + 0 + 16 + 27 + 9 + 9 + 6 + 8 + 0 = 666.

58920162799680 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 58920162799599 and 58920162799608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 629731462 + ... + 629825018.

It is an arithmetic number, because the mean of its divisors is an integer number (194624965080).

Almost surely, 2^{58920162799680} 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 58920162799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130787976533760).

58920162799680 is an abundant number, since it is smaller than the sum of its proper divisors (202655790267840).

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

58920162799680 is a wasteful number, since it uses less digits than its factorization.

58920162799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93698 (or 93676 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 58920162799680 in words is "fifty-eight trillion, nine hundred twenty billion, one hundred sixty-two million, seven hundred ninety-nine thousand, six hundred eighty".