10283625797760 has 3072 divisors, whose sum is σ = 46712540160000. Its totient is φ = 2072965644288.

The previous prime is 10283625797623. The next prime is 10283625797791. The reversal of 10283625797760 is 6779752638201.

10283625797760 is a `hidden beast` number, since 1 + 0 + 28 + 36 + 2 + 579 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 37125002742 + ... + 37125003018.

It is an arithmetic number, because the mean of its divisors is an integer number (15205905000).

Almost surely, 2^{10283625797760} is an apocalyptic number.

10283625797760 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 10283625797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23356270080000).

10283625797760 is an abundant number, since it is smaller than the sum of its proper divisors (36428914362240).

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

10283625797760 is a wasteful number, since it uses less digits than its factorization.

10283625797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 10283625797760 in words is "ten trillion, two hundred eighty-three billion, six hundred twenty-five million, seven hundred ninety-seven thousand, seven hundred sixty".