58492260450 has 162 divisors, whose sum is σ = 170361738729. Its totient is φ = 14381677440.

The previous prime is 58492260397. The next prime is 58492260479. The reversal of 58492260450 is 5406229485.

58492260450 is a `hidden beast` number, since 58 + 4 + 92 + 2 + 60 + 450 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 1396591641 + 57095668809 = 37371^2 + 238947^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=171015.

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

It is a junction number, because it is equal to n+sod(n) for n = 58492260396 and 58492260405.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 66695412 + ... + 66696288.

Almost surely, 2^58492260450 is an apocalyptic number.

58492260450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58492260450

58492260450 is an abundant number, since it is smaller than the sum of its proper divisors (111869478279).

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

58492260450 is a wasteful number, since it uses less digits than its factorization.

58492260450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 58492260450 in words is "fifty-eight billion, four hundred ninety-two million, two hundred sixty thousand, four hundred fifty".