5535256100 has 288 divisors, whose sum is σ = 14680310400. Its totient is φ = 1787699200.

The previous prime is 5535256099. The next prime is 5535256109. The reversal of 5535256100 is 16525355.

It is not an unprimeable number, because it can be changed into a prime (5535256109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31995614 + ... + 31995786.

It is an arithmetic number, because the mean of its divisors is an integer number (50973300).

Almost surely, 2^5535256100 is an apocalyptic number.

5535256100 is a gapful number since it is divisible by the number (50) 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 5535256100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340155200).

5535256100 is an abundant number, since it is smaller than the sum of its proper divisors (9145054300).

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

5535256100 is a wasteful number, since it uses less digits than its factorization.

5535256100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The square root of 5535256100 is about 74399.3017440352. The cubic root of 5535256100 is about 1768.9378435935.

The spelling of 5535256100 in words is "five billion, five hundred thirty-five million, two hundred fifty-six thousand, one hundred".