19878757273600 has 117 divisors (see below), whose sum is σ = 49296838190583. Its totient is φ = 7950932213760.

The previous prime is 19878757273577. The next prime is 19878757273603. The reversal of 19878757273600 is 637275787891.

The square root of 19878757273600 is 4458560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6202251546624 + 13676505726976 = 2490432^2 + 3698176^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19878757273600.

It is not an unprimeable number, because it can be changed into a prime (19878757273603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1426732234 + ... + 1426746166.

Almost surely, 2^{19878757273600} is an apocalyptic number.

19878757273600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19878757273600 is the 4458560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19878757273600

19878757273600 is an abundant number, since it is smaller than the sum of its proper divisors (29418080916983).

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

19878757273600 is an frugal number, since it uses more digits than its factorization.

19878757273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27900 (or 13940 counting only the distinct ones).

The product of its (nonzero) digits is 248935680, while the sum is 70.

The spelling of 19878757273600 in words is "nineteen trillion, eight hundred seventy-eight billion, seven hundred fifty-seven million, two hundred seventy-three thousand, six hundred".