5435652096 has 480 divisors, whose sum is σ = 19280701440. Its totient is φ = 1492992000.

The previous prime is 5435652041. The next prime is 5435652133. The reversal of 5435652096 is 6902565345.

5435652096 is a `hidden beast` number, since 5 + 4 + 35 + 6 + 520 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35997621 + ... + 35997771.

It is an arithmetic number, because the mean of its divisors is an integer number (40168128).

Almost surely, 2^5435652096 is an apocalyptic number.

5435652096 is a gapful number since it is divisible by the number (56) 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 5435652096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640350720).

5435652096 is an abundant number, since it is smaller than the sum of its proper divisors (13845049344).

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

5435652096 is a wasteful number, since it uses less digits than its factorization.

5435652096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 5435652096 is about 73726.8749914168. The cubic root of 5435652096 is about 1758.2631902199.

The spelling of 5435652096 in words is "five billion, four hundred thirty-five million, six hundred fifty-two thousand, ninety-six".