10735042560 has 540 divisors, whose sum is σ = 39849652584. Its totient is φ = 2465464320.

The previous prime is 10735042553. The next prime is 10735042583. The reversal of 10735042560 is 6524053701.

It is a super-2 number, since 2×10735042560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 565002231 + ... + 565002249.

Almost surely, 2^10735042560 is an apocalyptic number.

10735042560 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 10735042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19924826292).

10735042560 is an abundant number, since it is smaller than the sum of its proper divisors (29114610024).

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

10735042560 is an equidigital number, since it uses as much as digits as its factorization.

10735042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 10735042560 in words is "ten billion, seven hundred thirty-five million, forty-two thousand, five hundred sixty".