14993560890 has 640 divisors, whose sum is σ = 54195609600. Its totient is φ = 2878986240.

The previous prime is 14993560871. The next prime is 14993560891. The reversal of 14993560890 is 9806539941.

14993560890 is a `hidden beast` number, since 1 + 499 + 3 + 5 + 60 + 8 + 90 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14993560891) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 83762821 + ... + 83762999.

It is an arithmetic number, because the mean of its divisors is an integer number (84680640).

Almost surely, 2^14993560890 is an apocalyptic number.

14993560890 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 14993560890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27097804800).

14993560890 is an abundant number, since it is smaller than the sum of its proper divisors (39202048710).

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

14993560890 is a wasteful number, since it uses less digits than its factorization.

14993560890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 14993560890 in words is "fourteen billion, nine hundred ninety-three million, five hundred sixty thousand, eight hundred ninety".