20426753710800 has 360 divisors, whose sum is σ = 71516280442880. Its totient is φ = 5398827033600.

The previous prime is 20426753710799. The next prime is 20426753710919. The reversal of 20426753710800 is 801735762402.

20426753710800 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 6 + 7 + 537 + 108 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 466779321 + ... + 466823079.

Almost surely, 2^{20426753710800} is an apocalyptic number.

20426753710800 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 20426753710800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35758140221440).

20426753710800 is an abundant number, since it is smaller than the sum of its proper divisors (51089526732080).

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

20426753710800 is a wasteful number, since it uses less digits than its factorization.

20426753710800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44931 (or 44917 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20426753710800 in words is "twenty trillion, four hundred twenty-six billion, seven hundred fifty-three million, seven hundred ten thousand, eight hundred".