5059076400 has 240 divisors, whose sum is σ = 20579238400. Its totient is φ = 1156343040.

The previous prime is 5059076371. The next prime is 5059076423. The reversal of 5059076400 is 46709505.

5059076400 is a `hidden beast` number, since 5 + 0 + 5 + 9 + 0 + 7 + 640 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42141 + ... + 109059.

Almost surely, 2^5059076400 is an apocalyptic number.

5059076400 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 5059076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289619200).

5059076400 is an abundant number, since it is smaller than the sum of its proper divisors (15520162000).

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

5059076400 is a wasteful number, since it uses less digits than its factorization.

5059076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66953 (or 66936 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5059076400 is about 71127.1846764653. The cubic root of 5059076400 is about 1716.6842105014.

The spelling of 5059076400 in words is "five billion, fifty-nine million, seventy-six thousand, four hundred".