10508361864 has 192 divisors, whose sum is σ = 35467683840. Its totient is φ = 2519412480.

The previous prime is 10508361859. The next prime is 10508361917. The reversal of 10508361864 is 46816380501.

It is a super-2 number, since 2×10508361864² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 295489 + ... + 329135.

It is an arithmetic number, because the mean of its divisors is an integer number (184727520).

Almost surely, 2^10508361864 is an apocalyptic number.

10508361864 is a gapful number since it is divisible by the number (14) 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 10508361864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17733841920).

10508361864 is an abundant number, since it is smaller than the sum of its proper divisors (24959321976).

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

10508361864 is a wasteful number, since it uses less digits than its factorization.

10508361864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33700 (or 33683 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10508361864 in words is "ten billion, five hundred eight million, three hundred sixty-one thousand, eight hundred sixty-four".