5335145600 has 48 divisors (see below), whose sum is σ = 13179484770. Its totient is φ = 2134056960.

The previous prime is 5335145593. The next prime is 5335145609. The reversal of 5335145600 is 65415335.

It can be written as a sum of positive squares in 3 ways, for example, as 3219881536 + 2115264064 = 56744^2 + 45992^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5335145609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 830417 + ... + 836816.

Almost surely, 2^5335145600 is an apocalyptic number.

5335145600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5335145600 is an abundant number, since it is smaller than the sum of its proper divisors (7844339170).

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

5335145600 is a wasteful number, since it uses less digits than its factorization.

5335145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667257 (or 1667240 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 5335145600 is about 73042.0810218329. The cubic root of 5335145600 is about 1747.3588021565.

The spelling of 5335145600 in words is "five billion, three hundred thirty-five million, one hundred forty-five thousand, six hundred".