33540054544000 has 128 divisors (see below), whose sum is σ = 83660598141120. Its totient is φ = 13372319462400.

The previous prime is 33540054543979. The next prime is 33540054544037. The reversal of 33540054544000 is 44545004533.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33540054544000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497907 + ... + 8326093.

Almost surely, 2^{33540054544000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33540054544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41830299070560).

33540054544000 is an abundant number, since it is smaller than the sum of its proper divisors (50120543597120).

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

33540054544000 is an equidigital number, since it uses as much as digits as its factorization.

33540054544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828523 (or 6828501 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

Adding to 33540054544000 its reverse (44545004533), we get a palindrome (33584599548533).

The spelling of 33540054544000 in words is "thirty-three trillion, five hundred forty billion, fifty-four million, five hundred forty-four thousand".