58725653760 has 216 divisors, whose sum is σ = 203524513920. Its totient is φ = 15633985536.

The previous prime is 58725653741. The next prime is 58725653771. The reversal of 58725653760 is 6735652785.

58725653760 is a `hidden beast` number, since 5 + 8 + 7 + 2 + 565 + 3 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 58725653697 and 58725653706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7449501 + ... + 7457379.

It is an arithmetic number, because the mean of its divisors is an integer number (942243120).

Almost surely, 2^58725653760 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 58725653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101762256960).

58725653760 is an abundant number, since it is smaller than the sum of its proper divisors (144798860160).

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

58725653760 is a wasteful number, since it uses less digits than its factorization.

58725653760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8553 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 58725653760 in words is "fifty-eight billion, seven hundred twenty-five million, six hundred fifty-three thousand, seven hundred sixty".