21754560000 has 800 divisors, whose sum is σ = 80995673088. Its totient is φ = 5160960000.

The previous prime is 21754559999. The next prime is 21754560001. The reversal of 21754560000 is 6545712.

It is an interprime number because it is at equal distance from previous prime (21754559999) and next prime (21754560001).

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 21754560000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21754560001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 505919979 + ... + 505920021.

Almost surely, 2^21754560000 is an apocalyptic number.

21754560000 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 21754560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40497836544).

21754560000 is an abundant number, since it is smaller than the sum of its proper divisors (59241113088).

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

21754560000 is an equidigital number, since it uses as much as digits as its factorization.

21754560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 21754560000 in words is "twenty-one billion, seven hundred fifty-four million, five hundred sixty thousand".