221900802570720 has 1536 divisors, whose sum is σ = 972722205020160. Its totient is φ = 46574757347328.

The previous prime is 221900802570709. The next prime is 221900802570757. The reversal of 221900802570720 is 27075208009122.

221900802570720 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 0 + 0 + 8 + 0 + 2 + 570 + 72 + 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 255 ways as a sum of consecutive naturals, for example, 6145626907 + ... + 6145663013.

It is an arithmetic number, because the mean of its divisors is an integer number (633282685560).

Almost surely, 2^{221900802570720} is an apocalyptic number.

221900802570720 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 221900802570720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486361102510080).

221900802570720 is an abundant number, since it is smaller than the sum of its proper divisors (750821402449440).

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

221900802570720 is a wasteful number, since it uses less digits than its factorization.

221900802570720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36356 (or 36330 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 221900802570720 in words is "two hundred twenty-one trillion, nine hundred billion, eight hundred two million, five hundred seventy thousand, seven hundred twenty".