58451145480 has 960 divisors, whose sum is σ = 249165987840. Its totient is φ = 12180575232.

The previous prime is 58451145449. The next prime is 58451145481. The reversal of 58451145480 is 8454115485.

58451145480 is a `hidden beast` number, since 5 + 8 + 4 + 511 + 4 + 54 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58451145481) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 262112649 + ... + 262112871.

It is an arithmetic number, because the mean of its divisors is an integer number (259547904).

Almost surely, 2^58451145480 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 58451145480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124582993920).

58451145480 is an abundant number, since it is smaller than the sum of its proper divisors (190714842360).

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

58451145480 is a wasteful number, since it uses less digits than its factorization.

58451145480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 58451145480 in words is "fifty-eight billion, four hundred fifty-one million, one hundred forty-five thousand, four hundred eighty".