10221390558720 has 1920 divisors, whose sum is σ = 41939358709248. Its totient is φ = 2273181696000.

The previous prime is 10221390558661. The next prime is 10221390558763. The reversal of 10221390558720 is 2785509312201.

10221390558720 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 3 + 90 + 558 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 36117987699 + ... + 36117987981.

Almost surely, 2^{10221390558720} is an apocalyptic number.

10221390558720 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 10221390558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20969679354624).

10221390558720 is an abundant number, since it is smaller than the sum of its proper divisors (31717968150528).

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

10221390558720 is a wasteful number, since it uses less digits than its factorization.

10221390558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 505 counting only the distinct ones).

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

The spelling of 10221390558720 in words is "ten trillion, two hundred twenty-one billion, three hundred ninety million, five hundred fifty-eight thousand, seven hundred twenty".