5401586800 has 120 divisors (see below), whose sum is σ = 14338519776. Its totient is φ = 1945067520.

The previous prime is 5401586791. The next prime is 5401586803. The reversal of 5401586800 is 86851045.

It is a self number, because there is not a number n which added to its sum of digits gives 5401586800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5401586803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139132 + ... + 173668.

Almost surely, 2^5401586800 is an apocalyptic number.

5401586800 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 5401586800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169259888).

5401586800 is an abundant number, since it is smaller than the sum of its proper divisors (8936932976).

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

5401586800 is a wasteful number, since it uses less digits than its factorization.

5401586800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34595 (or 34584 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 5401586800 is about 73495.4882969016. The cubic root of 5401586800 is about 1754.5824717035.

The spelling of 5401586800 in words is "five billion, four hundred one million, five hundred eighty-six thousand, eight hundred".