21012255351360 has 3584 divisors, whose sum is σ = 97634628403200. Its totient is φ = 4136423915520.

The previous prime is 21012255351349. The next prime is 21012255351389. The reversal of 21012255351360 is 6315355221012.

21012255351360 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 22 + 553 + 51 + 36 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 94225360209 + ... + 94225360431.

It is an arithmetic number, because the mean of its divisors is an integer number (27241804800).

Almost surely, 2^{21012255351360} is an apocalyptic number.

21012255351360 is a gapful number since it is divisible by the number (20) 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 21012255351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48817314201600).

21012255351360 is an abundant number, since it is smaller than the sum of its proper divisors (76622373051840).

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

21012255351360 is a wasteful number, since it uses less digits than its factorization.

21012255351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 21012255351360 in words is "twenty-one trillion, twelve billion, two hundred fifty-five million, three hundred fifty-one thousand, three hundred sixty".