20771775024000 has 3072 divisors, whose sum is σ = 94959048038400. Its totient is φ = 3948134400000.

The previous prime is 20771775023999. The next prime is 20771775024017. The reversal of 20771775024000 is 42057717702.

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

It is a congruent number.

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, 50786735796 + ... + 50786736204.

It is an arithmetic number, because the mean of its divisors is an integer number (30911148450).

Almost surely, 2^{20771775024000} is an apocalyptic number.

20771775024000 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 20771775024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47479524019200).

20771775024000 is an abundant number, since it is smaller than the sum of its proper divisors (74187273014400).

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

20771775024000 is a wasteful number, since it uses less digits than its factorization.

20771775024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 192080, while the sum is 42.

The spelling of 20771775024000 in words is "twenty trillion, seven hundred seventy-one billion, seven hundred seventy-five million, twenty-four thousand".