10212257539008 has 280 divisors, whose sum is σ = 34621436951552. Its totient is φ = 2915722676736.

The previous prime is 10212257538937. The next prime is 10212257539009. The reversal of 10212257539008 is 80093575221201.

10212257539008 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 257 + 5 + 390 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212257539009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51538941 + ... + 51736707.

Almost surely, 2^{10212257539008} is an apocalyptic number.

10212257539008 is a gapful number since it is divisible by the number (18) 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 10212257539008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310718475776).

10212257539008 is an abundant number, since it is smaller than the sum of its proper divisors (24409179412544).

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

10212257539008 is a wasteful number, since it uses less digits than its factorization.

10212257539008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199221 (or 199202 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10212257539008 in words is "ten trillion, two hundred twelve billion, two hundred fifty-seven million, five hundred thirty-nine thousand, eight".