10702490000 has 50 divisors (see below), whose sum is σ = 25911822750. Its totient is φ = 4280992000.

The previous prime is 10702489957. The next prime is 10702490023. The reversal of 10702490000 is 9420701.

10702490000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 3861876736 + 6840613264 = 62144^2 + 82708^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×10702490000² (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 (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 525125 + ... + 545124.

It is an arithmetic number, because the mean of its divisors is an integer number (518236455).

Almost surely, 2^10702490000 is an apocalyptic number.

10702490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10702490000 is an abundant number, since it is smaller than the sum of its proper divisors (15209332750).

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

10702490000 is an equidigital number, since it uses as much as digits as its factorization.

10702490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070277 (or 1070256 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The spelling of 10702490000 in words is "ten billion, seven hundred two million, four hundred ninety thousand".