5635893120 has 384 divisors, whose sum is σ = 21234441600. Its totient is φ = 1260380160.

The previous prime is 5635893103. The next prime is 5635893139. The reversal of 5635893120 is 213985365.

It is a tau number, because it is divible by the number of its divisors (384).

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, 3568491 + ... + 3570069.

It is an arithmetic number, because the mean of its divisors is an integer number (55298025).

Almost surely, 2^5635893120 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 5635893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617220800).

5635893120 is an abundant number, since it is smaller than the sum of its proper divisors (15598548480).

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

5635893120 is a wasteful number, since it uses less digits than its factorization.

5635893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 5635893120 is about 75072.5856754648. The cubic root of 5635893120 is about 1779.5939316949.

The spelling of 5635893120 in words is "five billion, six hundred thirty-five million, eight hundred ninety-three thousand, one hundred twenty".