10492485773760 has 672 divisors, whose sum is σ = 37357372795392. Its totient is φ = 2701933977600.

The previous prime is 10492485773717. The next prime is 10492485773771. The reversal of 10492485773760 is 6737758429401.

10492485773760 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 24 + 8 + 577 + 37 + 6 + 0 = 666.

It is a super-2 number, since 2×10492485773760² (a number of 27 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 95 ways as a sum of consecutive naturals, for example, 2007360267 + ... + 2007365493.

It is a 1-persistent number, because it is pandigital, but 2⋅10492485773760 = 20984971547520 is not.

Almost surely, 2^{10492485773760} is an apocalyptic number.

10492485773760 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 10492485773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18678686397696).

10492485773760 is an abundant number, since it is smaller than the sum of its proper divisors (26864887021632).

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

10492485773760 is a wasteful number, since it uses less digits than its factorization.

10492485773760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 10492485773760 in words is "ten trillion, four hundred ninety-two billion, four hundred eighty-five million, seven hundred seventy-three thousand, seven hundred sixty".