21050496432000 has 5760 divisors, whose sum is σ = 102422873329920. Its totient is φ = 4263985152000.

The previous prime is 21050496431999. The next prime is 21050496432013. The reversal of 21050496432000 is 23469405012.

It is a happy number.

21050496432000 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 0 + 4 + 9 + 643 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 719 ways as a sum of consecutive naturals, for example, 568932335982 + ... + 568932336018.

It is an arithmetic number, because the mean of its divisors is an integer number (17781748842).

Almost surely, 2^{21050496432000} is an apocalyptic number.

21050496432000 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 21050496432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51211436664960).

21050496432000 is an abundant number, since it is smaller than the sum of its proper divisors (81372376897920).

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

21050496432000 is a wasteful number, since it uses less digits than its factorization.

21050496432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21050496432000 in words is "twenty-one trillion, fifty billion, four hundred ninety-six million, four hundred thirty-two thousand".