10228365039672 has 384 divisors, whose sum is σ = 33229836057600. Its totient is φ = 2811739392000.

The previous prime is 10228365039671. The next prime is 10228365039677. The reversal of 10228365039672 is 27693056382201.

10228365039672 is a `hidden beast` number, since 10 + 2 + 2 + 8 + 36 + 503 + 96 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228365039671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28865172 + ... + 29217372.

It is an arithmetic number, because the mean of its divisors is an integer number (86536031400).

Almost surely, 2^{10228365039672} is an apocalyptic number.

10228365039672 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 10228365039672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16614918028800).

10228365039672 is an abundant number, since it is smaller than the sum of its proper divisors (23001471017928).

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

10228365039672 is a wasteful number, since it uses less digits than its factorization.

10228365039672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352339 (or 352332 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 10228365039672 in words is "ten trillion, two hundred twenty-eight billion, three hundred sixty-five million, thirty-nine thousand, six hundred seventy-two".