21759001700 has 36 divisors (see below), whose sum is σ = 47239653552. Its totient is φ = 8699431200.

The previous prime is 21759001697. The next prime is 21759001703. The reversal of 21759001700 is 710095712.

It is an interprime number because it is at equal distance from previous prime (21759001697) and next prime (21759001703).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21759001703) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 162047 + ... + 264153.

Almost surely, 2^21759001700 is an apocalyptic number.

21759001700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21759001700 is an abundant number, since it is smaller than the sum of its proper divisors (25480651852).

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

21759001700 is a wasteful number, since it uses less digits than its factorization.

21759001700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104252 (or 104245 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 32.

The spelling of 21759001700 in words is "twenty-one billion, seven hundred fifty-nine million, one thousand, seven hundred".