5015001600 has 600 divisors, whose sum is σ = 21243143328. Its totient is φ = 1144627200.

The previous prime is 5015001599. The next prime is 5015001643. The reversal of 5015001600 is 61005105.

5015001600 is a `hidden beast` number, since 5 + 0 + 1 + 500 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7257255 + ... + 7257945.

Almost surely, 2^5015001600 is an apocalyptic number.

5015001600 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 5015001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10621571664).

5015001600 is an abundant number, since it is smaller than the sum of its proper divisors (16228141728).

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

5015001600 is an equidigital number, since it uses as much as digits as its factorization.

5015001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 5015001600 is about 70816.6760021960. The cubic root of 5015001600 is about 1711.6843975252.

Adding to 5015001600 its reverse (61005105), we get a palindrome (5076006705).

The spelling of 5015001600 in words is "five billion, fifteen million, one thousand, six hundred".