10386260633280 has 2688 divisors, whose sum is σ = 43690406538240. Its totient is φ = 2073962741760.

The previous prime is 10386260633269. The next prime is 10386260633303. The reversal of 10386260633280 is 8233606268301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 74721299451 + ... + 74721299589.

It is an arithmetic number, because the mean of its divisors is an integer number (16253871480).

Almost surely, 2^{10386260633280} is an apocalyptic number.

10386260633280 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 10386260633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21845203269120).

10386260633280 is an abundant number, since it is smaller than the sum of its proper divisors (33304145904960).

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

10386260633280 is a wasteful number, since it uses less digits than its factorization.

10386260633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 10386260633280 in words is "ten trillion, three hundred eighty-six billion, two hundred sixty million, six hundred thirty-three thousand, two hundred eighty".