5102025667200 has 4608 divisors, whose sum is σ = 25192387584000. Its totient is φ = 1009561190400.

The previous prime is 5102025667171. The next prime is 5102025667241. The reversal of 5102025667200 is 27665202015.

5102025667200 is a `hidden beast` number, since 5 + 1 + 0 + 20 + 2 + 566 + 72 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 108553737577 + ... + 108553737623.

It is an arithmetic number, because the mean of its divisors is an integer number (5467098000).

Almost surely, 2^{5102025667200} is an apocalyptic number.

5102025667200 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 5102025667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12596193792000).

5102025667200 is an abundant number, since it is smaller than the sum of its proper divisors (20090361916800).

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

5102025667200 is a wasteful number, since it uses less digits than its factorization.

5102025667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 5102025667200 in words is "five trillion, one hundred two billion, twenty-five million, six hundred sixty-seven thousand, two hundred".