10495409760 has 480 divisors, whose sum is σ = 40940266752. Its totient is φ = 2510853120.

The previous prime is 10495409737. The next prime is 10495409761. The reversal of 10495409760 is 6790459401.

10495409760 is a `hidden beast` number, since 1 + 0 + 49 + 540 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10495409760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10495409761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11832037 + ... + 11832923.

Almost surely, 2^10495409760 is an apocalyptic number.

10495409760 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 10495409760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20470133376).

10495409760 is an abundant number, since it is smaller than the sum of its proper divisors (30444856992).

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

10495409760 is a wasteful number, since it uses less digits than its factorization.

10495409760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10495409760 in words is "ten billion, four hundred ninety-five million, four hundred nine thousand, seven hundred sixty".