20746453795200 has 960 divisors, whose sum is σ = 92101177766400. Its totient is φ = 4492457717760.

The previous prime is 20746453795121. The next prime is 20746453795211. The reversal of 20746453795200 is 259735464702.

20746453795200 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 6 + 45 + 3 + 79 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34172697 + ... + 34774503.

It is an arithmetic number, because the mean of its divisors is an integer number (95938726840).

Almost surely, 2^{20746453795200} is an apocalyptic number.

20746453795200 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 20746453795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46050588883200).

20746453795200 is an abundant number, since it is smaller than the sum of its proper divisors (71354723971200).

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

20746453795200 is a wasteful number, since it uses less digits than its factorization.

20746453795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601869 (or 601843 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 20746453795200 in words is "twenty trillion, seven hundred forty-six billion, four hundred fifty-three million, seven hundred ninety-five thousand, two hundred".