33380855988480 has 3888 divisors, whose sum is σ = 162418668991488. Its totient is φ = 6186693427200.

The previous prime is 33380855988461. The next prime is 33380855988503. The reversal of 33380855988480 is 8488955808333.

33380855988480 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 0 + 8 + 55 + 98 + 8 + 480 = 666.

It is a super-2 number, since 2×33380855988480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 33380855988399 and 33380855988408.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 51119227834 + ... + 51119228486.

Almost surely, 2^{33380855988480} is an apocalyptic number.

33380855988480 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 33380855988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81209334495744).

33380855988480 is an abundant number, since it is smaller than the sum of its proper divisors (129037813003008).

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

33380855988480 is a wasteful number, since it uses less digits than its factorization.

33380855988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 33380855988480 in words is "thirty-three trillion, three hundred eighty billion, eight hundred fifty-five million, nine hundred eighty-eight thousand, four hundred eighty".