20286283584000 has 2560 divisors, whose sum is σ = 84009983016960. Its totient is φ = 4240760832000.

The previous prime is 20286283583971. The next prime is 20286283584029. The reversal of 20286283584000 is 48538268202.

It is an interprime number because it is at equal distance from previous prime (20286283583971) and next prime (20286283584029).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 121474751917 + ... + 121474752083.

It is an arithmetic number, because the mean of its divisors is an integer number (32816399616).

Almost surely, 2^{20286283584000} is an apocalyptic number.

20286283584000 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 20286283584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42004991508480).

20286283584000 is an abundant number, since it is smaller than the sum of its proper divisors (63723699432960).

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

20286283584000 is a wasteful number, since it uses less digits than its factorization.

20286283584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 20286283584000 in words is "twenty trillion, two hundred eighty-six billion, two hundred eighty-three million, five hundred eighty-four thousand".