20753575382400 has 384 divisors, whose sum is σ = 78159928872960. Its totient is φ = 4741394841600.

The previous prime is 20753575382369. The next prime is 20753575382417. The reversal of 20753575382400 is 428357535702.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 141786052 + ... + 141932348.

It is an arithmetic number, because the mean of its divisors is an integer number (203541481440).

Almost surely, 2^{20753575382400} is an apocalyptic number.

20753575382400 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 20753575382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39079964436480).

20753575382400 is an abundant number, since it is smaller than the sum of its proper divisors (57406353490560).

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

20753575382400 is a wasteful number, since it uses less digits than its factorization.

20753575382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148442 (or 148425 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 51.

The spelling of 20753575382400 in words is "twenty trillion, seven hundred fifty-three billion, five hundred seventy-five million, three hundred eighty-two thousand, four hundred".