21797061120 has 480 divisors, whose sum is σ = 80485973568. Its totient is φ = 5649481728.

The previous prime is 21797061109. The next prime is 21797061151. The reversal of 21797061120 is 2116079712.

It is a happy number.

21797061120 is a `hidden beast` number, since 2 + 17 + 9 + 7 + 0 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×21797061120² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23016487 + ... + 23017433.

Almost surely, 2^21797061120 is an apocalyptic number.

21797061120 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 21797061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40242986784).

21797061120 is an abundant number, since it is smaller than the sum of its proper divisors (58688912448).

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

21797061120 is an frugal number, since it uses more digits than its factorization.

21797061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 21797061120 in words is "twenty-one billion, seven hundred ninety-seven million, sixty-one thousand, one hundred twenty".