21364711257700 has 144 divisors (see below), whose sum is σ = 48412026432000. Its totient is φ = 8173484444160.

The previous prime is 21364711257691. The next prime is 21364711257709. The reversal of 21364711257700 is 775211746312.

It is an interprime number because it is at equal distance from previous prime (21364711257691) and next prime (21364711257709).

It is not an unprimeable number, because it can be changed into a prime (21364711257709) 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, 2207321461 + ... + 2207331139.

It is an arithmetic number, because the mean of its divisors is an integer number (336194628000).

Almost surely, 2^{21364711257700} is an apocalyptic number.

21364711257700 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 21364711257700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24206013216000).

21364711257700 is an abundant number, since it is smaller than the sum of its proper divisors (27047315174300).

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

21364711257700 is a wasteful number, since it uses less digits than its factorization.

21364711257700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16814 (or 16807 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 46.

The spelling of 21364711257700 in words is "twenty-one trillion, three hundred sixty-four billion, seven hundred eleven million, two hundred fifty-seven thousand, seven hundred".