13033500480 has 1344 divisors, whose sum is σ = 62656151040. Its totient is φ = 2481684480.

The previous prime is 13033500461. The next prime is 13033500481. The reversal of 13033500480 is 8400533031.

It is a happy number.

13033500480 is a `hidden beast` number, since 1 + 303 + 350 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033500481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95134972 + ... + 95135108.

It is an arithmetic number, because the mean of its divisors is an integer number (46619160).

Almost surely, 2^13033500480 is an apocalyptic number.

13033500480 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 13033500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31328075520).

13033500480 is an abundant number, since it is smaller than the sum of its proper divisors (49622650560).

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

13033500480 is a wasteful number, since it uses less digits than its factorization.

13033500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13033500480 in words is "thirteen billion, thirty-three million, five hundred thousand, four hundred eighty".