10227200677500 has 240 divisors, whose sum is σ = 30322033043456. Its totient is φ = 2681359200000.

The previous prime is 10227200677481. The next prime is 10227200677523. The reversal of 10227200677500 is 577600272201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1606279317 + ... + 1606285683.

Almost surely, 2^{10227200677500} is an apocalyptic number.

10227200677500 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 10227200677500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15161016521728).

10227200677500 is an abundant number, since it is smaller than the sum of its proper divisors (20094832365956).

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

10227200677500 is a wasteful number, since it uses less digits than its factorization.

10227200677500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9966 (or 9949 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 10227200677500 in words is "ten trillion, two hundred twenty-seven billion, two hundred million, six hundred seventy-seven thousand, five hundred".