21180146400 has 216 divisors, whose sum is σ = 85356193104. Its totient is φ = 4841164800.

The previous prime is 21180146369. The next prime is 21180146423. The reversal of 21180146400 is 464108112.

It is a happy number.

21180146400 is a `hidden beast` number, since 2 + 1 + 1 + 8 + 0 + 14 + 640 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 159721 + ... + 260520.

Almost surely, 2^21180146400 is an apocalyptic number.

21180146400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21180146400 is an abundant number, since it is smaller than the sum of its proper divisors (64176046704).

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

21180146400 is a wasteful number, since it uses less digits than its factorization.

21180146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420274 (or 420258 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 21180146400 in words is "twenty-one billion, one hundred eighty million, one hundred forty-six thousand, four hundred".