58421260800 has 1920 divisors, whose sum is σ = 272782540800. Its totient is φ = 11943936000.

The previous prime is 58421260717. The next prime is 58421260847. The reversal of 58421260800 is 806212485.

58421260800 is a `hidden beast` number, since 5 + 8 + 42 + 1 + 2 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1424908780 + ... + 1424908820.

It is an arithmetic number, because the mean of its divisors is an integer number (142074240).

Almost surely, 2^58421260800 is an apocalyptic number.

58421260800 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 58421260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136391270400).

58421260800 is an abundant number, since it is smaller than the sum of its proper divisors (214361280000).

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

58421260800 is a wasteful number, since it uses less digits than its factorization.

58421260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 58421260800 in words is "fifty-eight billion, four hundred twenty-one million, two hundred sixty thousand, eight hundred".