10206255526040 has 128 divisors (see below), whose sum is σ = 27872417779200. Its totient is φ = 3283496663040.

The previous prime is 10206255526013. The next prime is 10206255526079. The reversal of 10206255526040 is 4062555260201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10206255525985 and 10206255526003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1663370 + ... + 4814489.

It is an arithmetic number, because the mean of its divisors is an integer number (217753263900).

Almost surely, 2^{10206255526040} is an apocalyptic number.

10206255526040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10206255526040 is an abundant number, since it is smaller than the sum of its proper divisors (17666162253160).

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

10206255526040 is a wasteful number, since it uses less digits than its factorization.

10206255526040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478225 (or 6478221 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 10206255526040 in words is "ten trillion, two hundred six billion, two hundred fifty-five million, five hundred twenty-six thousand, forty".