5855616000 has 1056 divisors, whose sum is σ = 25107159168. Its totient is φ = 1297612800.

The previous prime is 5855615999. The next prime is 5855616103. The reversal of 5855616000 is 6165585.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254591989 + ... + 254592011.

Almost surely, 2^5855616000 is an apocalyptic number.

5855616000 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 5855616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553579584).

5855616000 is an abundant number, since it is smaller than the sum of its proper divisors (19251543168).

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

5855616000 is a wasteful number, since it uses less digits than its factorization.

5855616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5855616000 is about 76521.9968375107. The cubic root of 5855616000 is about 1802.4263574874.

The spelling of 5855616000 in words is "five billion, eight hundred fifty-five million, six hundred sixteen thousand".