21759095712 has 48 divisors (see below), whose sum is σ = 57319526880. Its totient is φ = 7227393792.

The previous prime is 21759095711. The next prime is 21759095713.

It is a happy number.

21759095712 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21759095711) and next prime (21759095713).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21759095711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373287 + ... + 427622.

It is an arithmetic number, because the mean of its divisors is an integer number (1194156810).

Almost surely, 2^21759095712 is an apocalyptic number.

It is an amenable number.

21759095712 is an abundant number, since it is smaller than the sum of its proper divisors (35560431168).

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

21759095712 is a wasteful number, since it uses less digits than its factorization.

21759095712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801205 (or 801197 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 48.

The spelling of 21759095712 in words is "twenty-one billion, seven hundred fifty-nine million, ninety-five thousand, seven hundred twelve".