20263904344320 has 1152 divisors, whose sum is σ = 84076646707200. Its totient is φ = 4039248052224.

The previous prime is 20263904344309. The next prime is 20263904344331. The reversal of 20263904344320 is 2344340936202.

It is an interprime number because it is at equal distance from previous prime (20263904344309) and next prime (20263904344331).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2516313414 + ... + 2516321466.

Almost surely, 2^{20263904344320} is an apocalyptic number.

20263904344320 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 20263904344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42038323353600).

20263904344320 is an abundant number, since it is smaller than the sum of its proper divisors (63812742362880).

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

20263904344320 is a wasteful number, since it uses less digits than its factorization.

20263904344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8495 (or 8481 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 20263904344320 in words is "twenty trillion, two hundred sixty-three billion, nine hundred four million, three hundred forty-four thousand, three hundred twenty".