5196357600 has 288 divisors, whose sum is σ = 19744736256. Its totient is φ = 1162291200.

The previous prime is 5196357587. The next prime is 5196357601. The reversal of 5196357600 is 67536915.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5196357601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786310 + ... + 792890.

It is an arithmetic number, because the mean of its divisors is an integer number (68558112).

Almost surely, 2^5196357600 is an apocalyptic number.

5196357600 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 5196357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9872368128).

5196357600 is an abundant number, since it is smaller than the sum of its proper divisors (14548378656).

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

5196357600 is a wasteful number, since it uses less digits than its factorization.

5196357600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6658 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 5196357600 is about 72085.7655851694. The cubic root of 5196357600 is about 1732.0736047459.

The spelling of 5196357600 in words is "five billion, one hundred ninety-six million, three hundred fifty-seven thousand, six hundred".