20217792000 has 640 divisors, whose sum is σ = 78644966400. Its totient is φ = 4606156800.

The previous prime is 20217791983. The next prime is 20217792013. The reversal of 20217792000 is 29771202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×20217792000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65855847 + ... + 65856153.

It is an arithmetic number, because the mean of its divisors is an integer number (122882760).

Almost surely, 2^20217792000 is an apocalyptic number.

20217792000 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 20217792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39322483200).

20217792000 is an abundant number, since it is smaller than the sum of its proper divisors (58427174400).

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

20217792000 is an frugal number, since it uses more digits than its factorization.

20217792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 20217792000 in words is "twenty billion, two hundred seventeen million, seven hundred ninety-two thousand".