10751657460 has 192 divisors, whose sum is σ = 31770869760. Its totient is φ = 2713328640.

The previous prime is 10751657447. The next prime is 10751657473. The reversal of 10751657460 is 6475615701.

It is an interprime number because it is at equal distance from previous prime (10751657447) and next prime (10751657473).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17712477 + ... + 17713083.

It is an arithmetic number, because the mean of its divisors is an integer number (165473280).

Almost surely, 2^10751657460 is an apocalyptic number.

10751657460 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 10751657460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885434880).

10751657460 is an abundant number, since it is smaller than the sum of its proper divisors (21019212300).

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

10751657460 is a wasteful number, since it uses less digits than its factorization.

10751657460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 10751657460 in words is "ten billion, seven hundred fifty-one million, six hundred fifty-seven thousand, four hundred sixty".