5096666400 has 432 divisors, whose sum is σ = 20322761760. Its totient is φ = 1103155200.

The previous prime is 5096666389. The next prime is 5096666431. The reversal of 5096666400 is 46666905.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2233260 + ... + 2235540.

It is an arithmetic number, because the mean of its divisors is an integer number (47043430).

Almost surely, 2^5096666400 is an apocalyptic number.

5096666400 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 5096666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10161380880).

5096666400 is an abundant number, since it is smaller than the sum of its proper divisors (15226095360).

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

5096666400 is a wasteful number, since it uses less digits than its factorization.

5096666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 5096666400 is about 71390.9406017318. The cubic root of 5096666400 is about 1720.9254979524.

The spelling of 5096666400 in words is "five billion, ninety-six million, six hundred sixty-six thousand, four hundred".