33135480000 has 840 divisors, whose sum is σ = 140950281472. Its totient is φ = 7558272000.

The previous prime is 33135479963. The next prime is 33135480013. The reversal of 33135480000 is 8453133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68039757 + ... + 68040243.

Almost surely, 2^33135480000 is an apocalyptic number.

33135480000 is a gapful number since it is divisible by the number (30) 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 33135480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70475140736).

33135480000 is an abundant number, since it is smaller than the sum of its proper divisors (107814801472).

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

33135480000 is an frugal number, since it uses more digits than its factorization.

33135480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 504 counting only the distinct ones).

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

The spelling of 33135480000 in words is "thirty-three billion, one hundred thirty-five million, four hundred eighty thousand".