20280077780064 has 192 divisors, whose sum is σ = 54977292619200. Its totient is φ = 6540903456768.

The previous prime is 20280077780057. The next prime is 20280077780077. The reversal of 20280077780064 is 46008777008202.

It is a super-2 number, since 2×20280077780064² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20280077779989 and 20280077780016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713344602 + ... + 713373030.

It is an arithmetic number, because the mean of its divisors is an integer number (286340065725).

Almost surely, 2^{20280077780064} is an apocalyptic number.

20280077780064 is a gapful number since it is divisible by the number (24) 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 20280077780064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27488646309600).

20280077780064 is an abundant number, since it is smaller than the sum of its proper divisors (34697214839136).

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

20280077780064 is a wasteful number, since it uses less digits than its factorization.

20280077780064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29585 (or 29577 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The spelling of 20280077780064 in words is "twenty trillion, two hundred eighty billion, seventy-seven million, seven hundred eighty thousand, sixty-four".