58283971200 has 1440 divisors, whose sum is σ = 270205010460. Its totient is φ = 12262440960.

The previous prime is 58283971133. The next prime is 58283971201. The reversal of 58283971200 is 217938285.

It is a happy number.

58283971200 is a `hidden beast` number, since 58 + 2 + 8 + 397 + 1 + 200 = 666.

58283971200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8882685504 + 49401285696 = 94248^2 + 222264^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58283971201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 165110224 + ... + 165110576.

Almost surely, 2^58283971200 is an apocalyptic number.

58283971200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58283971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135102505230).

58283971200 is an abundant number, since it is smaller than the sum of its proper divisors (211921039260).

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

58283971200 is a wasteful number, since it uses less digits than its factorization.

58283971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 58283971200 in words is "fifty-eight billion, two hundred eighty-three million, nine hundred seventy-one thousand, two hundred".