5035632000 has 384 divisors, whose sum is σ = 19427597280. Its totient is φ = 1150464000.

The previous prime is 5035631989. The next prime is 5035632001. The reversal of 5035632000 is 2365305.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035632001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2350930 + ... + 2353070.

Almost surely, 2^5035632000 is an apocalyptic number.

5035632000 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 5035632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9713798640).

5035632000 is an abundant number, since it is smaller than the sum of its proper divisors (14391965280).

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

5035632000 is a wasteful number, since it uses less digits than its factorization.

5035632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 5035632000 is about 70962.1871139835. The cubic root of 5035632000 is about 1714.0283264363.

Adding to 5035632000 its reverse (2365305), we get a palindrome (5037997305).

The spelling of 5035632000 in words is "five billion, thirty-five million, six hundred thirty-two thousand".