5345049600 has 1056 divisors, whose sum is σ = 23149113600. Its totient is φ = 1194393600.

The previous prime is 5345049587. The next prime is 5345049643. The reversal of 5345049600 is 69405435.

It is a happy number.

5345049600 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 0 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144460782 + ... + 144460818.

Almost surely, 2^5345049600 is an apocalyptic number.

5345049600 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 5345049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11574556800).

5345049600 is an abundant number, since it is smaller than the sum of its proper divisors (17804064000).

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

5345049600 is a wasteful number, since it uses less digits than its factorization.

5345049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5345049600 is about 73109.8461221196. The cubic root of 5345049600 is about 1748.4393814713.

The spelling of 5345049600 in words is "five billion, three hundred forty-five million, forty-nine thousand, six hundred".