20825740800 has 180 divisors, whose sum is σ = 74529989820. Its totient is φ = 5553500160.

The previous prime is 20825740781. The next prime is 20825740801. The reversal of 20825740800 is 804752802.

It is a happy number.

20825740800 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 574 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×20825740800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20825740801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24811 + ... + 205589.

It is an arithmetic number, because the mean of its divisors is an integer number (414055499).

Almost surely, 2^20825740800 is an apocalyptic number.

20825740800 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 20825740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37264994910).

20825740800 is an abundant number, since it is smaller than the sum of its proper divisors (53704249020).

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

20825740800 is a wasteful number, since it uses less digits than its factorization.

20825740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180813 (or 180789 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 20825740800 in words is "twenty billion, eight hundred twenty-five million, seven hundred forty thousand, eight hundred".