20280570048000 has 560 divisors, whose sum is σ = 75821792759856. Its totient is φ = 5408139571200.

The previous prime is 20280570047989. The next prime is 20280570048029. The reversal of 20280570048000 is 84007508202.

It is a happy number.

20280570048000 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 0 + 570 + 0 + 4 + 80 + 0 + 0 = 666.

It is a super-4 number, since 4×20280570048000⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46438659 + ... + 46873341.

Almost surely, 2^{20280570048000} is an apocalyptic number.

20280570048000 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 20280570048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37910896379928).

20280570048000 is an abundant number, since it is smaller than the sum of its proper divisors (55541222711856).

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

20280570048000 is an frugal number, since it uses more digits than its factorization.

20280570048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434734 (or 434693 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 20280570048000 in words is "twenty trillion, two hundred eighty billion, five hundred seventy million, forty-eight thousand".