10508846400 has 504 divisors, whose sum is σ = 40828107320. Its totient is φ = 2548039680.

The previous prime is 10508846393. The next prime is 10508846461. The reversal of 10508846400 is 464880501.

10508846400 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 8 + 8 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4891044096 + 5617802304 = 69936^2 + 74952^2 .

It is a super-2 number, since 2×10508846400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13665216 + ... + 13665984.

Almost surely, 2^10508846400 is an apocalyptic number.

10508846400 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 10508846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20414053660).

10508846400 is an abundant number, since it is smaller than the sum of its proper divisors (30319260920).

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

10508846400 is a wasteful number, since it uses less digits than its factorization.

10508846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10508846400 in words is "ten billion, five hundred eight million, eight hundred forty-six thousand, four hundred".