5110466400 has 432 divisors, whose sum is σ = 19705926240. Its totient is φ = 1238630400.

The previous prime is 5110466399. The next prime is 5110466429. The reversal of 5110466400 is 46640115.

5110466400 is a `hidden beast` number, since 5 + 1 + 10 + 4 + 6 + 640 + 0 = 666.

It is a super-2 number, since 2×5110466400² = 52233733651057920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6645216 + ... + 6645984.

It is an arithmetic number, because the mean of its divisors is an integer number (45615570).

Almost surely, 2^5110466400 is an apocalyptic number.

5110466400 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 5110466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9852963120).

5110466400 is an abundant number, since it is smaller than the sum of its proper divisors (14595459840).

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

5110466400 is a wasteful number, since it uses less digits than its factorization.

5110466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5110466400 is about 71487.5261846429. The cubic root of 5110466400 is about 1722.4773207665.

The spelling of 5110466400 in words is "five billion, one hundred ten million, four hundred sixty-six thousand, four hundred".