10206838112640 has 1024 divisors, whose sum is σ = 38102704819200. Its totient is φ = 2300927016960.

The previous prime is 10206838112609. The next prime is 10206838112677. The reversal of 10206838112640 is 4621183860201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10206838112592 and 10206838112601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11882232531 + ... + 11882233389.

It is an arithmetic number, because the mean of its divisors is an integer number (37209672675).

Almost surely, 2^{10206838112640} is an apocalyptic number.

10206838112640 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 10206838112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051352409600).

10206838112640 is an abundant number, since it is smaller than the sum of its proper divisors (27895866706560).

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

10206838112640 is a wasteful number, since it uses less digits than its factorization.

10206838112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 10206838112640 in words is "ten trillion, two hundred six billion, eight hundred thirty-eight million, one hundred twelve thousand, six hundred forty".