20465924382720 has 1344 divisors, whose sum is σ = 79965061263360. Its totient is φ = 5002120396800.

The previous prime is 20465924382679. The next prime is 20465924382817. The reversal of 20465924382720 is 2728342956402.

20465924382720 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 592 + 4 + 3 + 8 + 27 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5862480175 + ... + 5862483665.

It is an arithmetic number, because the mean of its divisors is an integer number (59497813440).

Almost surely, 2^{20465924382720} is an apocalyptic number.

20465924382720 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 20465924382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39982530631680).

20465924382720 is an abundant number, since it is smaller than the sum of its proper divisors (59499136880640).

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

20465924382720 is an equidigital number, since it uses as much as digits as its factorization.

20465924382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 20465924382720 in words is "twenty trillion, four hundred sixty-five billion, nine hundred twenty-four million, three hundred eighty-two thousand, seven hundred twenty".