20493329472000 has 3840 divisors, whose sum is σ = 98371983790080. Its totient is φ = 3972022272000.

The previous prime is 20493329471999. The next prime is 20493329472013. The reversal of 20493329472000 is 27492339402.

20493329472000 is a `hidden beast` number, since 2 + 0 + 493 + 3 + 2 + 94 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69943103854 + ... + 69943104146.

It is an arithmetic number, because the mean of its divisors is an integer number (25617704112).

Almost surely, 2^{20493329472000} is an apocalyptic number.

20493329472000 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 20493329472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49185991895040).

20493329472000 is an abundant number, since it is smaller than the sum of its proper divisors (77878654318080).

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

20493329472000 is a wasteful number, since it uses less digits than its factorization.

20493329472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 20493329472000 in words is "twenty trillion, four hundred ninety-three billion, three hundred twenty-nine million, four hundred seventy-two thousand".