5465955600 has 480 divisors, whose sum is σ = 23547421440. Its totient is φ = 1175592960.

The previous prime is 5465955571. The next prime is 5465955601. The reversal of 5465955600 is 65595645.

5465955600 is a `hidden beast` number, since 5 + 4 + 6 + 595 + 56 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5465955601) 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, 1283074 + ... + 1287326.

It is an arithmetic number, because the mean of its divisors is an integer number (49057128).

Almost surely, 2^5465955600 is an apocalyptic number.

5465955600 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 5465955600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773710720).

5465955600 is an abundant number, since it is smaller than the sum of its proper divisors (18081465840).

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

5465955600 is a wasteful number, since it uses less digits than its factorization.

5465955600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The square root of 5465955600 is about 73932.1012821900. The cubic root of 5465955600 is about 1761.5245485135.

The spelling of 5465955600 in words is "five billion, four hundred sixty-five million, nine hundred fifty-five thousand, six hundred".