10211208454560 has 192 divisors, whose sum is σ = 33115432089600. Its totient is φ = 2642915008512.

The previous prime is 10211208454553. The next prime is 10211208454561. The reversal of 10211208454560 is 6545480211201.

It is a happy number.

10211208454560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10211208454561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6560961 + ... + 7966719.

It is an arithmetic number, because the mean of its divisors is an integer number (172476208800).

Almost surely, 2^{10211208454560} is an apocalyptic number.

10211208454560 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 10211208454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16557716044800).

10211208454560 is an abundant number, since it is smaller than the sum of its proper divisors (22904223635040).

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

10211208454560 is a wasteful number, since it uses less digits than its factorization.

10211208454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406223 (or 1406215 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

Adding to 10211208454560 its reverse (6545480211201), we get a palindrome (16756688665761).

The spelling of 10211208454560 in words is "ten trillion, two hundred eleven billion, two hundred eight million, four hundred fifty-four thousand, five hundred sixty".