10226401152 has 192 divisors, whose sum is σ = 30178923600. Its totient is φ = 3065610240.

The previous prime is 10226401139. The next prime is 10226401183. The reversal of 10226401152 is 25110462201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4505874 + ... + 4508142.

Almost surely, 2^10226401152 is an apocalyptic number.

10226401152 is a gapful number since it is divisible by the number (12) 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 10226401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089461800).

10226401152 is an abundant number, since it is smaller than the sum of its proper divisors (19952522448).

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

10226401152 is a wasteful number, since it uses less digits than its factorization.

10226401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10226401152 its reverse (25110462201), we get a palindrome (35336863353).

The spelling of 10226401152 in words is "ten billion, two hundred twenty-six million, four hundred one thousand, one hundred fifty-two".