21257755200000 has 1440 divisors, whose sum is σ = 85628442803904. Its totient is φ = 5031936000000.

The previous prime is 21257755199999. The next prime is 21257755200023. The reversal of 21257755200000 is 255775212.

21257755200000 is a `hidden beast` number, since 2 + 12 + 57 + 75 + 520 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×21257755200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 6811198440 + ... + 6811201560.

Almost surely, 2^{21257755200000} is an apocalyptic number.

21257755200000 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 21257755200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42814221401952).

21257755200000 is an abundant number, since it is smaller than the sum of its proper divisors (64370687603904).

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

21257755200000 is an equidigital number, since it uses as much as digits as its factorization.

21257755200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 21257755200000 in words is "twenty-one trillion, two hundred fifty-seven billion, seven hundred fifty-five million, two hundred thousand".