19878451379280 has 960 divisors, whose sum is σ = 77543936870400. Its totient is φ = 4521600921600.

The previous prime is 19878451379279. The next prime is 19878451379407. The reversal of 19878451379280 is 8297315487891.

19878451379280 is a `hidden beast` number, since 1 + 9 + 8 + 7 + 8 + 451 + 3 + 7 + 92 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 19878451379199 and 19878451379208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7792414005 + ... + 7792416555.

It is an arithmetic number, because the mean of its divisors is an integer number (80774934240).

Almost surely, 2^{19878451379280} is an apocalyptic number.

19878451379280 is a gapful number since it is divisible by the number (10) 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 19878451379280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38771968435200).

19878451379280 is an abundant number, since it is smaller than the sum of its proper divisors (57665485491120).

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

19878451379280 is a wasteful number, since it uses less digits than its factorization.

19878451379280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 19878451379280 in words is "nineteen trillion, eight hundred seventy-eight billion, four hundred fifty-one million, three hundred seventy-nine thousand, two hundred eighty".