21332678400000 has 3456 divisors, whose sum is σ = 92223734803200. Its totient is φ = 4877107200000.

The previous prime is 21332678399993. The next prime is 21332678400017. The reversal of 21332678400000 is 487623312.

It is a happy number.

21332678400000 is a `hidden beast` number, since 213 + 32 + 6 + 7 + 8 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 496108799979 + ... + 496108800021.

It is an arithmetic number, because the mean of its divisors is an integer number (26685108450).

Almost surely, 2^{21332678400000} is an apocalyptic number.

21332678400000 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 21332678400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46111867401600).

21332678400000 is an abundant number, since it is smaller than the sum of its proper divisors (70891056403200).

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

21332678400000 is an frugal number, since it uses more digits than its factorization.

21332678400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 21332678400000 in words is "twenty-one trillion, three hundred thirty-two billion, six hundred seventy-eight million, four hundred thousand".