5199081195600 has 1200 divisors, whose sum is σ = 20056853868480. Its totient is φ = 1285914009600.

The previous prime is 5199081195599. The next prime is 5199081195601. The reversal of 5199081195600 is 65911809915.

5199081195600 is a `hidden beast` number, since 5 + 19 + 9 + 0 + 8 + 1 + 19 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5199081195599) and next prime (5199081195601).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5199081195601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9610131330 + ... + 9610131870.

Almost surely, 2^{5199081195600} is an apocalyptic number.

5199081195600 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 5199081195600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10028426934240).

5199081195600 is an abundant number, since it is smaller than the sum of its proper divisors (14857772672880).

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

5199081195600 is a wasteful number, since it uses less digits than its factorization.

5199081195600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 54.

The spelling of 5199081195600 in words is "five trillion, one hundred ninety-nine billion, eighty-one million, one hundred ninety-five thousand, six hundred".