10507485464 has 64 divisors (see below), whose sum is σ = 23344742400. Its totient is φ = 4338748800.

The previous prime is 10507485437. The next prime is 10507485467. The reversal of 10507485464 is 46458470501.

It is a super-2 number, since 2×10507485464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507485467) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 384329 + ... + 410759.

It is an arithmetic number, because the mean of its divisors is an integer number (364761600).

Almost surely, 2^10507485464 is an apocalyptic number.

10507485464 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 10507485464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11672371200).

10507485464 is an abundant number, since it is smaller than the sum of its proper divisors (12837256936).

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

10507485464 is a wasteful number, since it uses less digits than its factorization.

10507485464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26704 (or 26700 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 10507485464 in words is "ten billion, five hundred seven million, four hundred eighty-five thousand, four hundred sixty-four".