5166758400 has 240 divisors, whose sum is σ = 17179820064. Its totient is φ = 1368801280.

The previous prime is 5166758357. The next prime is 5166758491. The reversal of 5166758400 is 48576615.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7564459 + ... + 7565141.

Almost surely, 2^5166758400 is an apocalyptic number.

5166758400 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 5166758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8589910032).

5166758400 is an abundant number, since it is smaller than the sum of its proper divisors (12013061664).

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

5166758400 is a wasteful number, since it uses less digits than its factorization.

5166758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5166758400 is about 71880.1669447143. The cubic root of 5166758400 is about 1728.7786271544.

The spelling of 5166758400 in words is "five billion, one hundred sixty-six million, seven hundred fifty-eight thousand, four hundred".