10058630400 has 1296 divisors, whose sum is σ = 47051571840. Its totient is φ = 1990656000.

The previous prime is 10058630353. The next prime is 10058630401. The reversal of 10058630400 is 403685001.

10058630400 is a `hidden beast` number, since 10 + 0 + 586 + 30 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10058630401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99590350 + ... + 99590450.

Almost surely, 2^10058630400 is an apocalyptic number.

10058630400 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 10058630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525785920).

10058630400 is an abundant number, since it is smaller than the sum of its proper divisors (36992941440).

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

10058630400 is a wasteful number, since it uses less digits than its factorization.

10058630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10058630400 in words is "ten billion, fifty-eight million, six hundred thirty thousand, four hundred".