21935047680 has 528 divisors, whose sum is σ = 93561721344. Its totient is φ = 4627169280.

The previous prime is 21935047663. The next prime is 21935047709. The reversal of 21935047680 is 8674053912.

21935047680 is a `hidden beast` number, since 219 + 350 + 4 + 7 + 6 + 80 = 666.

It is a super-2 number, since 2×21935047680² (a number of 21 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 4190665 + ... + 4195895.

It is a 1-persistent number, because it is pandigital, but 2⋅21935047680 = 43870095360 is not.

Almost surely, 2^21935047680 is an apocalyptic number.

21935047680 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 21935047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46780860672).

21935047680 is an abundant number, since it is smaller than the sum of its proper divisors (71626673664).

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

21935047680 is a wasteful number, since it uses less digits than its factorization.

21935047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21935047680 in words is "twenty-one billion, nine hundred thirty-five million, forty-seven thousand, six hundred eighty".