13204278097920 has 1536 divisors, whose sum is σ = 58013190144000. Its totient is φ = 2774178201600.

The previous prime is 13204278097891. The next prime is 13204278097921. The reversal of 13204278097920 is 2979087240231.

It is a happy number.

13204278097920 is a `hidden beast` number, since 1 + 32 + 0 + 427 + 80 + 97 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13204278097921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6767952945 + ... + 6767954895.

It is an arithmetic number, because the mean of its divisors is an integer number (37769004000).

Almost surely, 2^{13204278097920} is an apocalyptic number.

13204278097920 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 13204278097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29006595072000).

13204278097920 is an abundant number, since it is smaller than the sum of its proper divisors (44808912046080).

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

13204278097920 is a wasteful number, since it uses less digits than its factorization.

13204278097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13204278097920 in words is "thirteen trillion, two hundred four billion, two hundred seventy-eight million, ninety-seven thousand, nine hundred twenty".