58481740800 has 1584 divisors, whose sum is σ = 266092968960. Its totient is φ = 12421693440.

The previous prime is 58481740799. The next prime is 58481740831. The reversal of 58481740800 is 804718485.

58481740800 is a `hidden beast` number, since 58 + 481 + 7 + 40 + 80 + 0 = 666.

It is a super-2 number, since 2×58481740800² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 740275161 + ... + 740275239.

Almost surely, 2^58481740800 is an apocalyptic number.

58481740800 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 58481740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133046484480).

58481740800 is an abundant number, since it is smaller than the sum of its proper divisors (207611228160).

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

58481740800 is a wasteful number, since it uses less digits than its factorization.

58481740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 58481740800 in words is "fifty-eight billion, four hundred eighty-one million, seven hundred forty thousand, eight hundred".