21779521860096 has 480 divisors, whose sum is σ = 84395665081728. Its totient is φ = 5221862277120.

The previous prime is 21779521860091. The next prime is 21779521860101. The reversal of 21779521860096 is 69006812597712.

21779521860096 is a `hidden beast` number, since 2 + 1 + 7 + 7 + 9 + 5 + 2 + 18 + 600 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21779521860091) and next prime (21779521860101).

It is a super-4 number, since 4×21779521860096⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (21779521860091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2251740 + ... + 6973476.

Almost surely, 2^{21779521860096} is an apocalyptic number.

21779521860096 is a gapful number since it is divisible by the number (26) 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 21779521860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42197832540864).

21779521860096 is an abundant number, since it is smaller than the sum of its proper divisors (62616143221632).

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

21779521860096 is a wasteful number, since it uses less digits than its factorization.

21779521860096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721792 (or 4721773 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 21779521860096 in words is "twenty-one trillion, seven hundred seventy-nine billion, five hundred twenty-one million, eight hundred sixty thousand, ninety-six".