10505214720 has 864 divisors, whose sum is σ = 48855066624. Its totient is φ = 2012774400.

The previous prime is 10505214691. The next prime is 10505214737. The reversal of 10505214720 is 2741250501.

10505214720 is a `hidden beast` number, since 10 + 505 + 2 + 147 + 2 + 0 = 666.

It is a super-2 number, since 2×10505214720² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 11531065 + ... + 11531975.

It is an arithmetic number, because the mean of its divisors is an integer number (56545216).

Almost surely, 2^10505214720 is an apocalyptic number.

10505214720 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 10505214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427533312).

10505214720 is an abundant number, since it is smaller than the sum of its proper divisors (38349851904).

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

10505214720 is a wasteful number, since it uses less digits than its factorization.

10505214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 10505214720 in words is "ten billion, five hundred five million, two hundred fourteen thousand, seven hundred twenty".