5398612800 has 672 divisors, whose sum is σ = 21479768064. Its totient is φ = 1161216000.

The previous prime is 5398612787. The next prime is 5398612801. The reversal of 5398612800 is 82168935.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5398612801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73953564 + ... + 73953636.

Almost surely, 2^5398612800 is an apocalyptic number.

5398612800 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 5398612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10739884032).

5398612800 is an abundant number, since it is smaller than the sum of its proper divisors (16081155264).

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

5398612800 is a wasteful number, since it uses less digits than its factorization.

5398612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 5398612800 is about 73475.2529767676. The cubic root of 5398612800 is about 1754.2604005282.

The spelling of 5398612800 in words is "five billion, three hundred ninety-eight million, six hundred twelve thousand, eight hundred".