10213358624280 has 512 divisors, whose sum is σ = 39189173760000. Its totient is φ = 2317672341504.

The previous prime is 10213358624279. The next prime is 10213358624303. The reversal of 10213358624280 is 8242685331201.

10213358624280 is a `hidden beast` number, since 1 + 0 + 2 + 13 + 3 + 5 + 8 + 624 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 621506944 + ... + 621523376.

It is an arithmetic number, because the mean of its divisors is an integer number (76541355000).

Almost surely, 2^{10213358624280} is an apocalyptic number.

10213358624280 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 10213358624280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19594586880000).

10213358624280 is an abundant number, since it is smaller than the sum of its proper divisors (28975815135720).

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

10213358624280 is a wasteful number, since it uses less digits than its factorization.

10213358624280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17048 (or 17038 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10213358624280 in words is "ten trillion, two hundred thirteen billion, three hundred fifty-eight million, six hundred twenty-four thousand, two hundred eighty".