20970662400 has 240 divisors, whose sum is σ = 76973793600. Its totient is φ = 5592084480.

The previous prime is 20970662359. The next prime is 20970662423. The reversal of 20970662400 is 426607902.

It is a happy number.

20970662400 is a `hidden beast` number, since 20 + 9 + 7 + 0 + 6 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315261 + ... + 375939.

It is an arithmetic number, because the mean of its divisors is an integer number (320724140).

Almost surely, 2^20970662400 is an apocalyptic number.

20970662400 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 20970662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38486896800).

20970662400 is an abundant number, since it is smaller than the sum of its proper divisors (56003131200).

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

20970662400 is an equidigital number, since it uses as much as digits as its factorization.

20970662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60716 (or 60689 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20970662400 in words is "twenty billion, nine hundred seventy million, six hundred sixty-two thousand, four hundred".