58375537920 has 576 divisors, whose sum is σ = 238011863040. Its totient is φ = 13271703552.

The previous prime is 58375537897. The next prime is 58375537943. The reversal of 58375537920 is 2973557385.

58375537920 is a `hidden beast` number, since 5 + 83 + 7 + 5 + 537 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (58375537897) and next prime (58375537943).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 54915309 + ... + 54916371.

It is an arithmetic number, because the mean of its divisors is an integer number (413215040).

Almost surely, 2^58375537920 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 58375537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119005931520).

58375537920 is an abundant number, since it is smaller than the sum of its proper divisors (179636325120).

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

58375537920 is a wasteful number, since it uses less digits than its factorization.

58375537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 58375537920 in words is "fifty-eight billion, three hundred seventy-five million, five hundred thirty-seven thousand, nine hundred twenty".