5456919600 has 360 divisors, whose sum is σ = 21168738864. Its totient is φ = 1290240000.

The previous prime is 5456919593. The next prime is 5456919623. The reversal of 5456919600 is 69196545.

It is a happy number.

5456919600 is a `hidden beast` number, since 5 + 456 + 9 + 196 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1621920 + ... + 1625280.

Almost surely, 2^5456919600 is an apocalyptic number.

5456919600 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 5456919600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584369432).

5456919600 is an abundant number, since it is smaller than the sum of its proper divisors (15711819264).

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

5456919600 is a wasteful number, since it uses less digits than its factorization.

5456919600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5456919600 is about 73870.9658797013. The cubic root of 5456919600 is about 1760.5533298072.

The spelling of 5456919600 in words is "five billion, four hundred fifty-six million, nine hundred nineteen thousand, six hundred".