5416125000 has 448 divisors, whose sum is σ = 20080992960. Its totient is φ = 1200000000.

The previous prime is 5416124963. The next prime is 5416125017. The reversal of 5416125000 is 5216145.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 53624950 + ... + 53625050.

It is an arithmetic number, because the mean of its divisors is an integer number (44823645).

Almost surely, 2^5416125000 is an apocalyptic number.

5416125000 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 5416125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10040496480).

5416125000 is an abundant number, since it is smaller than the sum of its proper divisors (14664867960).

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

5416125000 is a wasteful number, since it uses less digits than its factorization.

5416125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5416125000 is about 73594.3272270356. The cubic root of 5416125000 is about 1756.1551959733.

The spelling of 5416125000 in words is "five billion, four hundred sixteen million, one hundred twenty-five thousand".