21053690688000 has 640 divisors, whose sum is σ = 73108687601664. Its totient is φ = 5365291008000.

The previous prime is 21053690687867. The next prime is 21053690688011. The reversal of 21053690688000 is 88609635012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×21053690688000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9110206845 + ... + 9110209155.

Almost surely, 2^{21053690688000} is an apocalyptic number.

21053690688000 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 21053690688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36554343800832).

21053690688000 is an abundant number, since it is smaller than the sum of its proper divisors (52054996913664).

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

21053690688000 is a wasteful number, since it uses less digits than its factorization.

21053690688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 21053690688000 in words is "twenty-one trillion, fifty-three billion, six hundred ninety million, six hundred eighty-eight thousand".