10212982838400 has 1536 divisors, whose sum is σ = 37090946027520. Its totient is φ = 2464255180800.

The previous prime is 10212982838389. The next prime is 10212982838417. The reversal of 10212982838400 is 483828921201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10212982838400.

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 191 ways as a sum of consecutive naturals, for example, 29432227027 + ... + 29432227373.

It is an arithmetic number, because the mean of its divisors is an integer number (24147751320).

Almost surely, 2^{10212982838400} is an apocalyptic number.

10212982838400 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 10212982838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18545473013760).

10212982838400 is an abundant number, since it is smaller than the sum of its proper divisors (26877963189120).

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

10212982838400 is a wasteful number, since it uses less digits than its factorization.

10212982838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 10212982838400 in words is "ten trillion, two hundred twelve billion, nine hundred eighty-two million, eight hundred thirty-eight thousand, four hundred".