5152400016 has 80 divisors (see below), whose sum is σ = 13910538240. Its totient is φ = 1640256640.

The previous prime is 5152400009. The next prime is 5152400021. The reversal of 5152400016 is 6100042515.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790531 + ... + 797021.

It is an arithmetic number, because the mean of its divisors is an integer number (173881728).

Almost surely, 2^5152400016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5152400016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6955269120).

5152400016 is an abundant number, since it is smaller than the sum of its proper divisors (8758138224).

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

5152400016 is a wasteful number, since it uses less digits than its factorization.

5152400016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 7238 counting only the distinct ones).

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

The square root of 5152400016 is about 71780.2202281381. The cubic root of 5152400016 is about 1727.1757203386.

The spelling of 5152400016 in words is "five billion, one hundred fifty-two million, four hundred thousand, sixteen".