13850928000 has 1152 divisors, whose sum is σ = 62727013440. Its totient is φ = 2903040000.

The previous prime is 13850927989. The next prime is 13850928011. The reversal of 13850928000 is 82905831.

It is an interprime number because it is at equal distance from previous prime (13850927989) and next prime (13850928011).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×13850928000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91727925 + ... + 91728075.

Almost surely, 2^13850928000 is an apocalyptic number.

13850928000 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 13850928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31363506720).

13850928000 is an abundant number, since it is smaller than the sum of its proper divisors (48876085440).

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

13850928000 is a wasteful number, since it uses less digits than its factorization.

13850928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13850928000 in words is "thirteen billion, eight hundred fifty million, nine hundred twenty-eight thousand".