5190003655200 has 2160 divisors, whose sum is σ = 23746847604480. Its totient is φ = 1079910973440.

The previous prime is 5190003655127. The next prime is 5190003655327. The reversal of 5190003655200 is 25563000915.

5190003655200 is a `hidden beast` number, since 5 + 1 + 90 + 0 + 0 + 365 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×5190003655200² (a number of 26 digits) contains 22 as substring.

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 359 ways as a sum of consecutive naturals, for example, 6056013172 + ... + 6056014028.

It is an arithmetic number, because the mean of its divisors is an integer number (10993910928).

Almost surely, 2^{5190003655200} is an apocalyptic number.

5190003655200 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 5190003655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11873423802240).

5190003655200 is an abundant number, since it is smaller than the sum of its proper divisors (18556843949280).

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

5190003655200 is a wasteful number, since it uses less digits than its factorization.

5190003655200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 5190003655200 in words is "five trillion, one hundred ninety billion, three million, six hundred fifty-five thousand, two hundred".