5146292659200 has 3168 divisors, whose sum is σ = 23400975955968. Its totient is φ = 982646784000.

The previous prime is 5146292659147. The next prime is 5146292659213. The reversal of 5146292659200 is 29562926415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49964006349 + ... + 49964006451.

Almost surely, 2^{5146292659200} is an apocalyptic number.

5146292659200 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 5146292659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11700487977984).

5146292659200 is an abundant number, since it is smaller than the sum of its proper divisors (18254683296768).

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

5146292659200 is a wasteful number, since it uses less digits than its factorization.

5146292659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 5146292659200 in words is "five trillion, one hundred forty-six billion, two hundred ninety-two million, six hundred fifty-nine thousand, two hundred".