10680662590000 has 600 divisors, whose sum is σ = 30605797197360. Its totient is φ = 3583297536000.

The previous prime is 10680662589809. The next prime is 10680662590001. The reversal of 10680662590000 is 9526608601.

It is a super-2 number, since 2×10680662590000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10680662590001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1089525099 + ... + 1089534901.

Almost surely, 2^{10680662590000} is an apocalyptic number.

10680662590000 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 10680662590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15302898598680).

10680662590000 is an abundant number, since it is smaller than the sum of its proper divisors (19925134607360).

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

10680662590000 is a wasteful number, since it uses less digits than its factorization.

10680662590000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9907 (or 9869 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 10680662590000 in words is "ten trillion, six hundred eighty billion, six hundred sixty-two million, five hundred ninety thousand".