21254076000 has 240 divisors, whose sum is σ = 78010732800. Its totient is φ = 5667667200.

The previous prime is 21254075981. The next prime is 21254076013. The reversal of 21254076000 is 67045212.

21254076000 is a `hidden beast` number, since 2 + 1 + 2 + 54 + 0 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21254076000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291201 + ... + 356799.

It is an arithmetic number, because the mean of its divisors is an integer number (325044720).

Almost surely, 2^21254076000 is an apocalyptic number.

21254076000 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 21254076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39005366400).

21254076000 is an abundant number, since it is smaller than the sum of its proper divisors (56756656800).

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

21254076000 is an equidigital number, since it uses as much as digits as its factorization.

21254076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65636 (or 65609 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 21254076000 in words is "twenty-one billion, two hundred fifty-four million, seventy-six thousand".