10497785760 has 1152 divisors, whose sum is σ = 48906547200. Its totient is φ = 2052864000.

The previous prime is 10497785747. The next prime is 10497785783. The reversal of 10497785760 is 6758779401.

10497785760 is a `hidden beast` number, since 1 + 0 + 497 + 7 + 85 + 76 + 0 = 666.

It is a super-2 number, since 2×10497785760² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10497785697 and 10497785706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69521685 + ... + 69521835.

It is an arithmetic number, because the mean of its divisors is an integer number (42453600).

Almost surely, 2^10497785760 is an apocalyptic number.

10497785760 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 10497785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24453273600).

10497785760 is an abundant number, since it is smaller than the sum of its proper divisors (38408761440).

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

10497785760 is a wasteful number, since it uses less digits than its factorization.

10497785760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 10497785760 in words is "ten billion, four hundred ninety-seven million, seven hundred eighty-five thousand, seven hundred sixty".