5411868800 has 384 divisors, whose sum is σ = 15617750400. Its totient is φ = 1835827200.

The previous prime is 5411868799. The next prime is 5411868823. The reversal of 5411868800 is 88681145.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32406317 + ... + 32406483.

It is an arithmetic number, because the mean of its divisors is an integer number (40671225).

Almost surely, 2^5411868800 is an apocalyptic number.

5411868800 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 5411868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808875200).

5411868800 is an abundant number, since it is smaller than the sum of its proper divisors (10205881600).

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

5411868800 is a wasteful number, since it uses less digits than its factorization.

5411868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The square root of 5411868800 is about 73565.4049129073. The cubic root of 5411868800 is about 1755.6950572499.

The spelling of 5411868800 in words is "five billion, four hundred eleven million, eight hundred sixty-eight thousand, eight hundred".