20645801164800 has 1632 divisors, whose sum is σ = 88191615176960. Its totient is φ = 4637432217600.

The previous prime is 20645801164741. The next prime is 20645801164837. The reversal of 20645801164800 is 846110854602.

It is a happy number.

20645801164800 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 58 + 0 + 116 + 480 + 0 = 666.

It is a super-3 number, since 3×20645801164800³ (a number of 41 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 18889113054 + ... + 18889114146.

Almost surely, 2^{20645801164800} is an apocalyptic number.

20645801164800 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 20645801164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44095807588480).

20645801164800 is an abundant number, since it is smaller than the sum of its proper divisors (67545814012160).

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

20645801164800 is an equidigital number, since it uses as much as digits as its factorization.

20645801164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 20645801164800 in words is "twenty trillion, six hundred forty-five billion, eight hundred one million, one hundred sixty-four thousand, eight hundred".