1058364403200 has 2400 divisors, whose sum is σ = 4641565420800. Its totient is φ = 235693670400.

The previous prime is 1058364403153. The next prime is 1058364403219. The reversal of 1058364403200 is 23044638501.

1058364403200 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 3 + 6 + 440 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×1058364403200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7103116726 + ... + 7103116874.

It is an arithmetic number, because the mean of its divisors is an integer number (1933985592).

Almost surely, 2^{1058364403200} is an apocalyptic number.

1058364403200 is a gapful number since it is divisible by the number (10) 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 1058364403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320782710400).

1058364403200 is an abundant number, since it is smaller than the sum of its proper divisors (3583201017600).

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

1058364403200 is a wasteful number, since it uses less digits than its factorization.

1058364403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1058364403200 in words is "one trillion, fifty-eight billion, three hundred sixty-four million, four hundred three thousand, two hundred".