10212242552064 has 720 divisors, whose sum is σ = 35065596720000. Its totient is φ = 2895723675648.

The previous prime is 10212242552041. The next prime is 10212242552107. The reversal of 10212242552064 is 46025524221201.

10212242552064 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 2 + 42 + 552 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20063344642 + ... + 20063345150.

Almost surely, 2^{10212242552064} is an apocalyptic number.

10212242552064 is a gapful number since it is divisible by the number (14) 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 10212242552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17532798360000).

10212242552064 is an abundant number, since it is smaller than the sum of its proper divisors (24853354167936).

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

10212242552064 is an equidigital number, since it uses as much as digits as its factorization.

10212242552064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10212242552064 its reverse (46025524221201), we get a palindrome (56237766773265).

The spelling of 10212242552064 in words is "ten trillion, two hundred twelve billion, two hundred forty-two million, five hundred fifty-two thousand, sixty-four".