10745917488 has 200 divisors, whose sum is σ = 31832486400. Its totient is φ = 3498857856.

The previous prime is 10745917463. The next prime is 10745917499. The reversal of 10745917488 is 88471954701.

10745917488 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 591 + 7 + 48 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10545043 + ... + 10546061.

It is an arithmetic number, because the mean of its divisors is an integer number (159162432).

Almost surely, 2^10745917488 is an apocalyptic number.

10745917488 is a gapful number since it is divisible by the number (18) 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 10745917488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916243200).

10745917488 is an abundant number, since it is smaller than the sum of its proper divisors (21086568912).

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

10745917488 is a wasteful number, since it uses less digits than its factorization.

10745917488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 10745917488 in words is "ten billion, seven hundred forty-five million, nine hundred seventeen thousand, four hundred eighty-eight".