33725785484160 has 2048 divisors, whose sum is σ = 154086802329600. Its totient is φ = 6768230400000.

The previous prime is 33725785484129. The next prime is 33725785484177. The reversal of 33725785484160 is 6148458752733.

It is a happy number.

33725785484160 is a `hidden beast` number, since 3 + 3 + 7 + 2 + 5 + 78 + 548 + 4 + 16 + 0 = 666.

It is a super-2 number, since 2×33725785484160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5509845900 + ... + 5509852020.

It is an arithmetic number, because the mean of its divisors is an integer number (75237696450).

Almost surely, 2^{33725785484160} is an apocalyptic number.

33725785484160 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 33725785484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77043401164800).

33725785484160 is an abundant number, since it is smaller than the sum of its proper divisors (120361016845440).

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

33725785484160 is a wasteful number, since it uses less digits than its factorization.

33725785484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 33725785484160 in words is "thirty-three trillion, seven hundred twenty-five billion, seven hundred eighty-five million, four hundred eighty-four thousand, one hundred sixty".