13995168390 has 256 divisors, whose sum is σ = 45639936000. Its totient is φ = 2980385280.

The previous prime is 13995168389. The next prime is 13995168433. The reversal of 13995168390 is 9386159931.

13995168390 is a `hidden beast` number, since 1 + 3 + 9 + 95 + 168 + 390 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2187316 + ... + 2193704.

It is an arithmetic number, because the mean of its divisors is an integer number (178281000).

Almost surely, 2^13995168390 is an apocalyptic number.

13995168390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13995168390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22819968000).

13995168390 is an abundant number, since it is smaller than the sum of its proper divisors (31644767610).

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

13995168390 is a wasteful number, since it uses less digits than its factorization.

13995168390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6492 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 13995168390 in words is "thirteen billion, nine hundred ninety-five million, one hundred sixty-eight thousand, three hundred ninety".