10579578948 has 36 divisors (see below), whose sum is σ = 26938040220. Its totient is φ = 3500783616.

The previous prime is 10579578937. The next prime is 10579578949. The reversal of 10579578948 is 84987597501.

10579578948 is a `hidden beast` number, since 1 + 0 + 57 + 9 + 578 + 9 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2439569664 + 8140009284 = 49392^2 + 90222^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10579578948² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10579578949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1067613 + ... + 1077476.

It is an arithmetic number, because the mean of its divisors is an integer number (748278895).

Almost surely, 2^10579578948 is an apocalyptic number.

10579578948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10579578948 is an abundant number, since it is smaller than the sum of its proper divisors (16358461272).

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

10579578948 is a wasteful number, since it uses less digits than its factorization.

10579578948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145236 (or 2145231 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 10579578948 in words is "ten billion, five hundred seventy-nine million, five hundred seventy-eight thousand, nine hundred forty-eight".