5362156800 has 1728 divisors, whose sum is σ = 27251589120. Its totient is φ = 995328000.

The previous prime is 5362156783. The next prime is 5362156823. The reversal of 5362156800 is 86512635.

It is a tau number, because it is divible by the number of its divisors (1728).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172972785 + ... + 172972815.

Almost surely, 2^5362156800 is an apocalyptic number.

5362156800 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 5362156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625794560).

5362156800 is an abundant number, since it is smaller than the sum of its proper divisors (21889432320).

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

5362156800 is a wasteful number, since it uses less digits than its factorization.

5362156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5362156800 is about 73226.7492109270. The cubic root of 5362156800 is about 1750.3027285810.

The spelling of 5362156800 in words is "five billion, three hundred sixty-two million, one hundred fifty-six thousand, eight hundred".