5199146400 has 576 divisors, whose sum is σ = 20398694400. Its totient is φ = 1125273600.

The previous prime is 5199146387. The next prime is 5199146413. The reversal of 5199146400 is 46419915.

It is an interprime number because it is at equal distance from previous prime (5199146387) and next prime (5199146413).

It is a super-2 number, since 2×5199146400² = 54062246577265920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34893526 + ... + 34893674.

It is an arithmetic number, because the mean of its divisors is an integer number (35414400).

Almost surely, 2^5199146400 is an apocalyptic number.

5199146400 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 5199146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10199347200).

5199146400 is an abundant number, since it is smaller than the sum of its proper divisors (15199548000).

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

5199146400 is a wasteful number, since it uses less digits than its factorization.

5199146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 5199146400 is about 72105.1066152738. The cubic root of 5199146400 is about 1732.3834078403.

The spelling of 5199146400 in words is "five billion, one hundred ninety-nine million, one hundred forty-six thousand, four hundred".