33540212675904 has 896 divisors, whose sum is σ = 103189966848000. Its totient is φ = 9521860608000.

The previous prime is 33540212675887. The next prime is 33540212675929. The reversal of 33540212675904 is 40957621204533.

It is a super-2 number, since 2×33540212675904² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93426776077 + ... + 93426776435.

Almost surely, 2^{33540212675904} 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 33540212675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51594983424000).

33540212675904 is an abundant number, since it is smaller than the sum of its proper divisors (69649754172096).

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

33540212675904 is a wasteful number, since it uses less digits than its factorization.

33540212675904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 33540212675904 in words is "thirty-three trillion, five hundred forty billion, two hundred twelve million, six hundred seventy-five thousand, nine hundred four".