39773306880000 has 1710 divisors, whose sum is σ = 153123889315826. Its totient is φ = 10319560704000.

The previous prime is 39773306879993. The next prime is 39773306880017. The reversal of 39773306880000 is 8860337793.

It can be written as a sum of positive squares in 5 ways, for example, as 7492001071104 + 32281305808896 = 2737152^2 + 5681664^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 89 ways as a sum of consecutive naturals, for example, 1074954239982 + ... + 1074954240018.

Almost surely, 2^{39773306880000} is an apocalyptic number.

39773306880000 is a gapful number since it is divisible by the number (30) 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 39773306880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76561944657913).

39773306880000 is an abundant number, since it is smaller than the sum of its proper divisors (113350582435826).

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

39773306880000 is an frugal number, since it uses more digits than its factorization.

39773306880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 39773306880000 in words is "thirty-nine trillion, seven hundred seventy-three billion, three hundred six million, eight hundred eighty thousand".