21950470080 has 1008 divisors, whose sum is σ = 98209193472. Its totient is φ = 4371148800.

The previous prime is 21950470063. The next prime is 21950470093. The reversal of 21950470080 is 8007405912.

21950470080 is a `hidden beast` number, since 2 + 1 + 9 + 504 + 70 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 213111309 + ... + 213111411.

Almost surely, 2^21950470080 is an apocalyptic number.

21950470080 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 21950470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49104596736).

21950470080 is an abundant number, since it is smaller than the sum of its proper divisors (76258723392).

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

21950470080 is a wasteful number, since it uses less digits than its factorization.

21950470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 21950470080 its reverse (8007405912), we get a palindrome (29957875992).

The spelling of 21950470080 in words is "twenty-one billion, nine hundred fifty million, four hundred seventy thousand, eighty".