20378760772608 has 1188 divisors, whose sum is σ = 71888887145712. Its totient is φ = 5756379955200.

The previous prime is 20378760772597. The next prime is 20378760772637. The reversal of 20378760772608 is 80627706787302.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33908087508 + ... + 33908088108.

Almost surely, 2^{20378760772608} is an apocalyptic number.

20378760772608 is a gapful number since it is divisible by the number (28) 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 20378760772608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35944443572856).

20378760772608 is an abundant number, since it is smaller than the sum of its proper divisors (51510126373104).

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

20378760772608 is an frugal number, since it uses more digits than its factorization.

20378760772608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 20378760772608 in words is "twenty trillion, three hundred seventy-eight billion, seven hundred sixty million, seven hundred seventy-two thousand, six hundred eight".