39853140225360 has 640 divisors, whose sum is σ = 161238082387968. Its totient is φ = 7901155584000.

The previous prime is 39853140225341. The next prime is 39853140225377. The reversal of 39853140225360 is 6352204135893.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40184577 + ... + 41164383.

Almost surely, 2^{39853140225360} is an apocalyptic number.

39853140225360 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 39853140225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80619041193984).

39853140225360 is an abundant number, since it is smaller than the sum of its proper divisors (121384942162608).

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

39853140225360 is a wasteful number, since it uses less digits than its factorization.

39853140225360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979943 (or 979937 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 39853140225360 in words is "thirty-nine trillion, eight hundred fifty-three billion, one hundred forty million, two hundred twenty-five thousand, three hundred sixty".