35404864166880 has 2880 divisors, whose sum is σ = 155198188918080. Its totient is φ = 7508913684480.

The previous prime is 35404864166857. The next prime is 35404864167007. The reversal of 35404864166880 is 8866146840453.

It is a happy number.

35404864166880 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 4 + 86 + 416 + 68 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 52296697102 + ... + 52296697778.

It is an arithmetic number, because the mean of its divisors is an integer number (53888260041).

Almost surely, 2^{35404864166880} is an apocalyptic number.

35404864166880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35404864166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77599094459040).

35404864166880 is an abundant number, since it is smaller than the sum of its proper divisors (119793324751200).

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

35404864166880 is a wasteful number, since it uses less digits than its factorization.

35404864166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 35404864166880 in words is "thirty-five trillion, four hundred four billion, eight hundred sixty-four million, one hundred sixty-six thousand, eight hundred eighty".