20946969397800 has 384 divisors, whose sum is σ = 72818895542400. Its totient is φ = 5534165790720.

The previous prime is 20946969397799. The next prime is 20946969397831. The reversal of 20946969397800 is 879396964902.

20946969397800 is a `hidden beast` number, since 2 + 0 + 9 + 469 + 6 + 93 + 9 + 78 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1930057174 + ... + 1930068026.

It is an arithmetic number, because the mean of its divisors is an integer number (189632540475).

Almost surely, 2^{20946969397800} is an apocalyptic number.

20946969397800 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 20946969397800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36409447771200).

20946969397800 is an abundant number, since it is smaller than the sum of its proper divisors (51871926144600).

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

20946969397800 is a wasteful number, since it uses less digits than its factorization.

20946969397800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14154 (or 14139 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 20946969397800 in words is "twenty trillion, nine hundred forty-six billion, nine hundred sixty-nine million, three hundred ninety-seven thousand, eight hundred".