35535042504 has 384 divisors, whose sum is σ = 111473107200. Its totient is φ = 10142668800.

The previous prime is 35535042503. The next prime is 35535042559. The reversal of 35535042504 is 40524053553.

35535042504 is a `hidden beast` number, since 3 + 55 + 350 + 4 + 250 + 4 = 666.

It is a super-2 number, since 2×35535042504² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35535042503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128285214 + ... + 128285490.

It is an arithmetic number, because the mean of its divisors is an integer number (290294550).

Almost surely, 2^35535042504 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 35535042504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55736553600).

35535042504 is an abundant number, since it is smaller than the sum of its proper divisors (75938064696).

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

35535042504 is a wasteful number, since it uses less digits than its factorization.

35535042504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 35535042504 in words is "thirty-five billion, five hundred thirty-five million, forty-two thousand, five hundred four".