5157785600 has 312 divisors, whose sum is σ = 14747731680. Its totient is φ = 1769472000.

The previous prime is 5157785597. The next prime is 5157785617. The reversal of 5157785600 is 65877515.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 21401480 + ... + 21401720.

Almost surely, 2^5157785600 is an apocalyptic number.

5157785600 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 5157785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373865840).

5157785600 is an abundant number, since it is smaller than the sum of its proper divisors (9589946080).

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

5157785600 is a wasteful number, since it uses less digits than its factorization.

5157785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 44.

The square root of 5157785600 is about 71817.7248316876. The cubic root of 5157785600 is about 1727.7772918286. Note that the first 3 decimals are identical.

The spelling of 5157785600 in words is "five billion, one hundred fifty-seven million, seven hundred eighty-five thousand, six hundred".