35945407989504 has 432 divisors, whose sum is σ = 115249387868160. Its totient is φ = 10699885486080.

The previous prime is 35945407989493. The next prime is 35945407989511. The reversal of 35945407989504 is 40598970454953.

35945407989504 is a `hidden beast` number, since 3 + 5 + 9 + 4 + 5 + 40 + 79 + 8 + 9 + 504 = 666.

It is a super-3 number, since 3×35945407989504³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5165308777 + ... + 5165315735.

Almost surely, 2^{35945407989504} 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 35945407989504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57624693934080).

35945407989504 is an abundant number, since it is smaller than the sum of its proper divisors (79303979878656).

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

35945407989504 is a wasteful number, since it uses less digits than its factorization.

35945407989504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12588 (or 12571 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 35945407989504 in words is "thirty-five trillion, nine hundred forty-five billion, four hundred seven million, nine hundred eighty-nine thousand, five hundred four".