35128359540 has 144 divisors (see below), whose sum is σ = 112291111296. Its totient is φ = 8871456000.

The previous prime is 35128359521. The next prime is 35128359571. The reversal of 35128359540 is 4595382153.

35128359540 is a `hidden beast` number, since 3 + 5 + 12 + 8 + 3 + 595 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 376135 + ... + 460145.

It is an arithmetic number, because the mean of its divisors is an integer number (779799384).

Almost surely, 2^35128359540 is an apocalyptic number.

35128359540 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 35128359540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56145555648).

35128359540 is an abundant number, since it is smaller than the sum of its proper divisors (77162751756).

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

35128359540 is a wasteful number, since it uses less digits than its factorization.

35128359540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84150 (or 84145 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 35128359540 in words is "thirty-five billion, one hundred twenty-eight million, three hundred fifty-nine thousand, five hundred forty".