5406361600 has 144 divisors (see below), whose sum is σ = 13990354560. Its totient is φ = 2068070400.

The previous prime is 5406361579. The next prime is 5406361651. The reversal of 5406361600 is 61636045.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1175305 + ... + 1179895.

It is an arithmetic number, because the mean of its divisors is an integer number (97155240).

Almost surely, 2^5406361600 is an apocalyptic number.

5406361600 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 5406361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995177280).

5406361600 is an abundant number, since it is smaller than the sum of its proper divisors (8583992960).

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

5406361600 is a wasteful number, since it uses less digits than its factorization.

5406361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 5406361600 is about 73527.9647481147. The cubic root of 5406361600 is about 1755.0993144610.

Adding to 5406361600 its reverse (61636045), we get a palindrome (5467997645).

The spelling of 5406361600 in words is "five billion, four hundred six million, three hundred sixty-one thousand, six hundred".