10508577408 has 384 divisors, whose sum is σ = 36063805440. Its totient is φ = 2874009600.

The previous prime is 10508577389. The next prime is 10508577419. The reversal of 10508577408 is 80477580501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10508577408² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31747803 + ... + 31748133.

It is an arithmetic number, because the mean of its divisors is an integer number (93916160).

Almost surely, 2^10508577408 is an apocalyptic number.

10508577408 is a gapful number since it is divisible by the number (18) 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 10508577408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18031902720).

10508577408 is an abundant number, since it is smaller than the sum of its proper divisors (25555228032).

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

10508577408 is a wasteful number, since it uses less digits than its factorization.

10508577408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 10508577408 in words is "ten billion, five hundred eight million, five hundred seventy-seven thousand, four hundred eight".