5154408000 has 672 divisors, whose sum is σ = 22043623680. Its totient is φ = 1175731200.

The previous prime is 5154407971. The next prime is 5154408001. The reversal of 5154408000 is 8044515.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (5154408001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10583757 + ... + 10584243.

Almost surely, 2^5154408000 is an apocalyptic number.

5154408000 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 5154408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021811840).

5154408000 is an abundant number, since it is smaller than the sum of its proper divisors (16889215680).

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

5154408000 is a wasteful number, since it uses less digits than its factorization.

5154408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5154408000 is about 71794.2058943478. The cubic root of 5154408000 is about 1727.4000617954.

The spelling of 5154408000 in words is "five billion, one hundred fifty-four million, four hundred eight thousand".