33855252480 has 1200 divisors, whose sum is σ = 149891201460. Its totient is φ = 7283146752.

The previous prime is 33855252461. The next prime is 33855252491. The reversal of 33855252480 is 8425255833.

33855252480 is a `hidden beast` number, since 3 + 3 + 8 + 552 + 52 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33656103936 + 199148544 = 183456^2 + 14112^2 .

It is a super-2 number, since 2×33855252480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1991485432 + ... + 1991485448.

Almost surely, 2^33855252480 is an apocalyptic number.

33855252480 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 33855252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74945600730).

33855252480 is an abundant number, since it is smaller than the sum of its proper divisors (116035948980).

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

33855252480 is an frugal number, since it uses more digits than its factorization.

33855252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 33855252480 in words is "thirty-three billion, eight hundred fifty-five million, two hundred fifty-two thousand, four hundred eighty".