10226352888300 has 288 divisors, whose sum is σ = 32190057704448. Its totient is φ = 2496112865280.

The previous prime is 10226352888281. The next prime is 10226352888343. The reversal of 10226352888300 is 388825362201.

It is a self number, because there is not a number n which added to its sum of digits gives 10226352888300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461737827 + ... + 461759973.

It is an arithmetic number, because the mean of its divisors is an integer number (111771033696).

Almost surely, 2^{10226352888300} is an apocalyptic number.

10226352888300 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 10226352888300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16095028852224).

10226352888300 is an abundant number, since it is smaller than the sum of its proper divisors (21963704816148).

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

10226352888300 is a wasteful number, since it uses less digits than its factorization.

10226352888300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24665 (or 24658 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 10226352888300 in words is "ten trillion, two hundred twenty-six billion, three hundred fifty-two million, eight hundred eighty-eight thousand, three hundred".