10263693690000 has 675 divisors, whose sum is σ = 36715136996109. Its totient is φ = 2675730240000.

The previous prime is 10263693689981. The next prime is 10263693690031. The reversal of 10263693690000 is 9639636201.

It is a happy number.

The square root of 10263693690000 is 3203700.

It is a perfect power (a square), and thus also a powerful number.

10263693690000 is a `hidden beast` number, since 1 + 0 + 2 + 636 + 9 + 3 + 6 + 9 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 9939668620176 + 324025069824 = 3152724^2 + 569232^2 .

It is a super-2 number, since 2×10263693690000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 56705489910 + ... + 56705490090.

Almost surely, 2^{10263693690000} is an apocalyptic number.

10263693690000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10263693690000 is the 3203700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10263693690000

10263693690000 is an abundant number, since it is smaller than the sum of its proper divisors (26451443306109).

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

10263693690000 is an frugal number, since it uses more digits than its factorization.

10263693690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 10263693690000 in words is "ten trillion, two hundred sixty-three billion, six hundred ninety-three million, six hundred ninety thousand".