10578122500 has 225 divisors, whose sum is σ = 27030132745. Its totient is φ = 3620320000.

The previous prime is 10578122479. The next prime is 10578122509. The reversal of 10578122500 is 522187501.

The square root of 10578122500 is 102850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 5165871876 + 5412250624 = 71874^2 + 73568^2 .

It is a super-2 number, since 2×10578122500² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10578122509) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 622242492 + ... + 622242508.

Almost surely, 2^10578122500 is an apocalyptic number.

10578122500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10578122500 is the 102850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10578122500

10578122500 is an abundant number, since it is smaller than the sum of its proper divisors (16452010245).

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

10578122500 is an frugal number, since it uses more digits than its factorization.

10578122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The spelling of 10578122500 in words is "ten billion, five hundred seventy-eight million, one hundred twenty-two thousand, five hundred".