10226693856000 has 288 divisors, whose sum is σ = 34083989005248. Its totient is φ = 2717803315200.

The previous prime is 10226693855947. The next prime is 10226693856019. The reversal of 10226693856000 is 65839662201.

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 31 ways as a sum of consecutive naturals, for example, 27946212 + ... + 28309788.

It is an arithmetic number, because the mean of its divisors is an integer number (118347184046).

Almost surely, 2^{10226693856000} is an apocalyptic number.

10226693856000 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 10226693856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17041994502624).

10226693856000 is an abundant number, since it is smaller than the sum of its proper divisors (23857295149248).

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

10226693856000 is an equidigital number, since it uses as much as digits as its factorization.

10226693856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363904 (or 363880 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 10226693856000 in words is "ten trillion, two hundred twenty-six billion, six hundred ninety-three million, eight hundred fifty-six thousand".