13727416950 has 96 divisors (see below), whose sum is σ = 40736455200. Its totient is φ = 3379052160.

The previous prime is 13727416933. The next prime is 13727416957. The reversal of 13727416950 is 5961472731.

13727416950 is a `hidden beast` number, since 1 + 372 + 74 + 169 + 50 = 666.

It is a super-2 number, since 2×13727416950² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13727416896 and 13727416905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13727416957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373545 + ... + 408644.

It is an arithmetic number, because the mean of its divisors is an integer number (424338075).

Almost surely, 2^13727416950 is an apocalyptic number.

13727416950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13727416950 is an abundant number, since it is smaller than the sum of its proper divisors (27009038250).

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

13727416950 is a wasteful number, since it uses less digits than its factorization.

13727416950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782223 (or 782212 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 13727416950 in words is "thirteen billion, seven hundred twenty-seven million, four hundred sixteen thousand, nine hundred fifty".