20270011104000 has 3456 divisors, whose sum is σ = 90870423920640. Its totient is φ = 4433522688000.

The previous prime is 20270011103893. The next prime is 20270011104037. The reversal of 20270011104000 is 40111007202.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 121377311917 + ... + 121377312083.

It is an arithmetic number, because the mean of its divisors is an integer number (26293525440).

Almost surely, 2^{20270011104000} is an apocalyptic number.

20270011104000 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 20270011104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45435211960320).

20270011104000 is an abundant number, since it is smaller than the sum of its proper divisors (70600412816640).

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

20270011104000 is a wasteful number, since it uses less digits than its factorization.

20270011104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The spelling of 20270011104000 in words is "twenty trillion, two hundred seventy billion, eleven million, one hundred four thousand".