5759006400 has 1008 divisors, whose sum is σ = 25680578560. Its totient is φ = 1194393600.

The previous prime is 5759006387. The next prime is 5759006417. The reversal of 5759006400 is 46009575.

5759006400 is a `hidden beast` number, since 5 + 7 + 5 + 9 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 59371152 + ... + 59371248.

Almost surely, 2^5759006400 is an apocalyptic number.

5759006400 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 5759006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840289280).

5759006400 is an abundant number, since it is smaller than the sum of its proper divisors (19921572160).

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

5759006400 is a wasteful number, since it uses less digits than its factorization.

5759006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

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

The square root of 5759006400 is about 75888.1176469676. The cubic root of 5759006400 is about 1792.4588203865.

The spelling of 5759006400 in words is "five billion, seven hundred fifty-nine million, six thousand, four hundred".