58490359200 has 1620 divisors, whose sum is σ = 271147899330. Its totient is φ = 12227604480.

The previous prime is 58490359133. The next prime is 58490359201. The reversal of 58490359200 is 295309485.

58490359200 is a `hidden beast` number, since 5 + 8 + 4 + 90 + 359 + 200 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 86936976 + 58403422224 = 9324^2 + 241668^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×58490359200² (a number of 22 digits) contains 22 as substring.

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 (58490359201) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 536608746 + ... + 536608854.

Almost surely, 2^58490359200 is an apocalyptic number.

58490359200 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 58490359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135573949665).

58490359200 is an abundant number, since it is smaller than the sum of its proper divisors (212657540130).

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

58490359200 is a wasteful number, since it uses less digits than its factorization.

58490359200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 58490359200 in words is "fifty-eight billion, four hundred ninety million, three hundred fifty-nine thousand, two hundred".