14755150080 has 576 divisors, whose sum is σ = 58720032000. Its totient is φ = 3477012480.

The previous prime is 14755150079. The next prime is 14755150103. The reversal of 14755150080 is 8005155741.

14755150080 is a `hidden beast` number, since 1 + 4 + 75 + 5 + 1 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 14065396 + ... + 14066444.

It is an arithmetic number, because the mean of its divisors is an integer number (101944500).

Almost surely, 2^14755150080 is an apocalyptic number.

14755150080 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 14755150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29360016000).

14755150080 is an abundant number, since it is smaller than the sum of its proper divisors (43964881920).

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

14755150080 is a wasteful number, since it uses less digits than its factorization.

14755150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 14755150080 in words is "fourteen billion, seven hundred fifty-five million, one hundred fifty thousand, eighty".