5347560400 has 240 divisors, whose sum is σ = 15971727744. Its totient is φ = 1675376640.

The previous prime is 5347560391. The next prime is 5347560401. The reversal of 5347560400 is 40657435.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5347560401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3894114 + ... + 3895486.

Almost surely, 2^5347560400 is an apocalyptic number.

5347560400 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 5347560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7985863872).

5347560400 is an abundant number, since it is smaller than the sum of its proper divisors (10624167344).

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

5347560400 is a wasteful number, since it uses less digits than its factorization.

5347560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 5347560400 is about 73127.0155277788. The cubic root of 5347560400 is about 1748.7131110416.

The spelling of 5347560400 in words is "five billion, three hundred forty-seven million, five hundred sixty thousand, four hundred".