10130671656600 has 768 divisors, whose sum is σ = 36386246131200. Its totient is φ = 2308282368000.

The previous prime is 10130671656583. The next prime is 10130671656613. The reversal of 10130671656600 is 665617603101.

It is a happy number.

It is a congruent number.

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, 4418085054 + ... + 4418087346.

It is an arithmetic number, because the mean of its divisors is an integer number (47377924650).

Almost surely, 2^{10130671656600} is an apocalyptic number.

10130671656600 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 10130671656600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18193123065600).

10130671656600 is an abundant number, since it is smaller than the sum of its proper divisors (26255574474600).

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

10130671656600 is a wasteful number, since it uses less digits than its factorization.

10130671656600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 10130671656600 in words is "ten trillion, one hundred thirty billion, six hundred seventy-one million, six hundred fifty-six thousand, six hundred".