13697775000 has 768 divisors, whose sum is σ = 58796236800. Its totient is φ = 2877120000.

The previous prime is 13697774989. The next prime is 13697775031. The reversal of 13697775000 is 57779631.

13697775000 is a `hidden beast` number, since 13 + 69 + 7 + 77 + 500 + 0 = 666.

13697775000 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 (45).

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 191 ways as a sum of consecutive naturals, for example, 61424889 + ... + 61425111.

It is an arithmetic number, because the mean of its divisors is an integer number (76557600).

Almost surely, 2^13697775000 is an apocalyptic number.

13697775000 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 13697775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29398118400).

13697775000 is an abundant number, since it is smaller than the sum of its proper divisors (45098461800).

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

13697775000 is a wasteful number, since it uses less digits than its factorization.

13697775000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 13697775000 in words is "thirteen billion, six hundred ninety-seven million, seven hundred seventy-five thousand".