35204455440252 has 288 divisors, whose sum is σ = 105384254976000. Its totient is φ = 9701482752000.

The previous prime is 35204455440233. The next prime is 35204455440263. The reversal of 35204455440252 is 25204455440253.

35204455440252 is a `hidden beast` number, since 3 + 5 + 2 + 0 + 4 + 4 + 554 + 40 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35204455440198 and 35204455440207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363637749 + ... + 363734547.

It is an arithmetic number, because the mean of its divisors is an integer number (365917552000).

Almost surely, 2^{35204455440252} 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 35204455440252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52692127488000).

35204455440252 is an abundant number, since it is smaller than the sum of its proper divisors (70179799535748).

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

35204455440252 is a wasteful number, since it uses less digits than its factorization.

35204455440252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97337 (or 97332 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 45.

Subtracting from 35204455440252 its reverse (25204455440253), we obtain a palindrome (9999999999999).

The spelling of 35204455440252 in words is "thirty-five trillion, two hundred four billion, four hundred fifty-five million, four hundred forty thousand, two hundred fifty-two".