10751458560 has 576 divisors, whose sum is σ = 38852352000. Its totient is φ = 2520612864.

The previous prime is 10751458477. The next prime is 10751458589. The reversal of 10751458560 is 6585415701.

It is a super-2 number, since 2×10751458560² (a number of 21 digits) contains 22 as substring.

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, 72157366 + ... + 72157514.

It is an arithmetic number, because the mean of its divisors is an integer number (67452000).

Almost surely, 2^10751458560 is an apocalyptic number.

10751458560 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 10751458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19426176000).

10751458560 is an abundant number, since it is smaller than the sum of its proper divisors (28100893440).

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

10751458560 is a wasteful number, since it uses less digits than its factorization.

10751458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 10751458560 in words is "ten billion, seven hundred fifty-one million, four hundred fifty-eight thousand, five hundred sixty".