3535897559040 has 1632 divisors, whose sum is σ = 15970311392256. Its totient is φ = 701749002240.

The previous prime is 3535897558997. The next prime is 3535897559053. The reversal of 3535897559040 is 409557985353.

It is a happy number.

3535897559040 is a `hidden beast` number, since 3 + 5 + 3 + 589 + 7 + 5 + 5 + 9 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5222891182 + ... + 5222891858.

Almost surely, 2^{3535897559040} is an apocalyptic number.

3535897559040 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 3535897559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7985155696128).

3535897559040 is an abundant number, since it is smaller than the sum of its proper divisors (12434413833216).

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

3535897559040 is a wasteful number, since it uses less digits than its factorization.

3535897559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 63.

The spelling of 3535897559040 in words is "three trillion, five hundred thirty-five billion, eight hundred ninety-seven million, five hundred fifty-nine thousand, forty".