5551862400 has 288 divisors, whose sum is σ = 22641184800. Its totient is φ = 1268951040.

The previous prime is 5551862387. The next prime is 5551862401. The reversal of 5551862400 is 42681555.

5551862400 is a `hidden beast` number, since 5 + 551 + 8 + 62 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5551862400² = 61646352217067520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5551862401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187831 + ... + 215369.

It is an arithmetic number, because the mean of its divisors is an integer number (78615225).

Almost surely, 2^5551862400 is an apocalyptic number.

5551862400 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 5551862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11320592400).

5551862400 is an abundant number, since it is smaller than the sum of its proper divisors (17089322400).

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

5551862400 is a wasteful number, since it uses less digits than its factorization.

5551862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27576 (or 27556 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5551862400 is about 74510.8206906889. The cubic root of 5551862400 is about 1770.7050719682.

The spelling of 5551862400 in words is "five billion, five hundred fifty-one million, eight hundred sixty-two thousand, four hundred".