21950003842560 has 560 divisors, whose sum is σ = 79038383474160. Its totient is φ = 5843570688000.

The previous prime is 21950003842549. The next prime is 21950003842561. The reversal of 21950003842560 is 6524830005912.

21950003842560 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 0 + 0 + 0 + 3 + 84 + 2 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21950003842561) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1155193060 + ... + 1155212060.

Almost surely, 2^{21950003842560} is an apocalyptic number.

21950003842560 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 21950003842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39519191737080).

21950003842560 is an abundant number, since it is smaller than the sum of its proper divisors (57088379631600).

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

21950003842560 is an frugal number, since it uses more digits than its factorization.

21950003842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19661 (or 19630 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 21950003842560 in words is "twenty-one trillion, nine hundred fifty billion, three million, eight hundred forty-two thousand, five hundred sixty".