5150098800 has 720 divisors, whose sum is σ = 23067690240. Its totient is φ = 1068249600.

The previous prime is 5150098799. The next prime is 5150098801. The reversal of 5150098800 is 88900515.

It is an interprime number because it is at equal distance from previous prime (5150098799) and next prime (5150098801).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5150098800² = 53047035299522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5150098801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9147319 + ... + 9147881.

Almost surely, 2^5150098800 is an apocalyptic number.

5150098800 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 5150098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11533845120).

5150098800 is an abundant number, since it is smaller than the sum of its proper divisors (17917591440).

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

5150098800 is a wasteful number, since it uses less digits than its factorization.

5150098800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 5150098800 is about 71764.1888409533. The cubic root of 5150098800 is about 1726.9185459304.

The spelling of 5150098800 in words is "five billion, one hundred fifty million, ninety-eight thousand, eight hundred".