35104755404064 has 96 divisors (see below), whose sum is σ = 92705828382720. Its totient is φ = 11631007717632.

The previous prime is 35104755404003. The next prime is 35104755404077. The reversal of 35104755404064 is 46040455740153.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×35104755404064² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 608593977 + ... + 608651655.

It is an arithmetic number, because the mean of its divisors is an integer number (965685712320).

Almost surely, 2^{35104755404064} 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 35104755404064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46352914191360).

35104755404064 is an abundant number, since it is smaller than the sum of its proper divisors (57601072978656).

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

35104755404064 is a wasteful number, since it uses less digits than its factorization.

35104755404064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95822 (or 95814 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 35104755404064 in words is "thirty-five trillion, one hundred four billion, seven hundred fifty-five million, four hundred four thousand, sixty-four".