10578580000 has 60 divisors (see below), whose sum is σ = 26024942790. Its totient is φ = 4231424000.

The previous prime is 10578579937. The next prime is 10578580007. The reversal of 10578580000 is 8587501.

It can be written as a sum of positive squares in 5 ways, for example, as 2204865936 + 8373714064 = 46956^2 + 91508^2 .

It is a super-2 number, since 2×10578580000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10578580007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 244465 + ... + 284464.

Almost surely, 2^10578580000 is an apocalyptic number.

10578580000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10578580000 is an abundant number, since it is smaller than the sum of its proper divisors (15446362790).

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

10578580000 is an frugal number, since it uses more digits than its factorization.

10578580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528959 (or 528936 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 34.

The spelling of 10578580000 in words is "ten billion, five hundred seventy-eight million, five hundred eighty thousand".