13850229173760 has 1920 divisors, whose sum is σ = 61786895385600. Its totient is φ = 2923229675520.

The previous prime is 13850229173749. The next prime is 13850229173779. The reversal of 13850229173760 is 6737192205831.

13850229173760 is a `hidden beast` number, since 1 + 3 + 8 + 502 + 2 + 9 + 1 + 73 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×13850229173760² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13850229173697 and 13850229173706.

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, 2259045895 + ... + 2259052025.

It is an arithmetic number, because the mean of its divisors is an integer number (32180674680).

Almost surely, 2^{13850229173760} is an apocalyptic number.

13850229173760 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 13850229173760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30893447692800).

13850229173760 is an abundant number, since it is smaller than the sum of its proper divisors (47936666211840).

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

13850229173760 is a wasteful number, since it uses less digits than its factorization.

13850229173760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6229 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13850229173760 in words is "thirteen trillion, eight hundred fifty billion, two hundred twenty-nine million, one hundred seventy-three thousand, seven hundred sixty".