10460651160 has 256 divisors, whose sum is σ = 34159656960. Its totient is φ = 2554928640.

The previous prime is 10460651147. The next prime is 10460651171. The reversal of 10460651160 is 6115606401.

10460651160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 8812087 + ... + 8813273.

It is an arithmetic number, because the mean of its divisors is an integer number (133436160).

Almost surely, 2^10460651160 is an apocalyptic number.

10460651160 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 10460651160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079828480).

10460651160 is an abundant number, since it is smaller than the sum of its proper divisors (23699005800).

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

10460651160 is a wasteful number, since it uses less digits than its factorization.

10460651160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 10460651160 in words is "ten billion, four hundred sixty million, six hundred fifty-one thousand, one hundred sixty".