13778695980 has 288 divisors, whose sum is σ = 49260556800. Its totient is φ = 3052422144.

The previous prime is 13778695979. The next prime is 13778695991. The reversal of 13778695980 is 8959687731.

13778695980 is a `hidden beast` number, since 1 + 37 + 7 + 8 + 6 + 9 + 598 + 0 = 666.

13778695980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 5425551 + ... + 5428089.

It is an arithmetic number, because the mean of its divisors is an integer number (171043600).

Almost surely, 2^13778695980 is an apocalyptic number.

13778695980 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 13778695980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24630278400).

13778695980 is an abundant number, since it is smaller than the sum of its proper divisors (35481860820).

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

13778695980 is a wasteful number, since it uses less digits than its factorization.

13778695980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 13778695980 in words is "thirteen billion, seven hundred seventy-eight million, six hundred ninety-five thousand, nine hundred eighty".