5029187461200 has 1080 divisors, whose sum is σ = 21294668304000. Its totient is φ = 1093848053760.

The previous prime is 5029187461183. The next prime is 5029187461211. The reversal of 5029187461200 is 21647819205.

5029187461200 is a `hidden beast` number, since 5 + 0 + 2 + 9 + 187 + 461 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 807379686 + ... + 807385914.

Almost surely, 2^{5029187461200} is an apocalyptic number.

5029187461200 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 5029187461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10647334152000).

5029187461200 is an abundant number, since it is smaller than the sum of its proper divisors (16265480842800).

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

5029187461200 is a wasteful number, since it uses less digits than its factorization.

5029187461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 5029187461200 in words is "five trillion, twenty-nine billion, one hundred eighty-seven million, four hundred sixty-one thousand, two hundred".