20278702080000 has 3840 divisors, whose sum is σ = 95912538163200. Its totient is φ = 4140564480000.

The previous prime is 20278702079897. The next prime is 20278702080019. The reversal of 20278702080000 is 8020787202.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×20278702080000² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 654151679985 + ... + 654151680015.

It is an arithmetic number, because the mean of its divisors is an integer number (24977223480).

Almost surely, 2^{20278702080000} is an apocalyptic number.

20278702080000 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 20278702080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47956269081600).

20278702080000 is an abundant number, since it is smaller than the sum of its proper divisors (75633836083200).

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

20278702080000 is an frugal number, since it uses more digits than its factorization.

20278702080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 20278702080000 in words is "twenty trillion, two hundred seventy-eight billion, seven hundred two million, eighty thousand".