546879599400 has 384 divisors, whose sum is σ = 1873872921600. Its totient is φ = 131329228800.

The previous prime is 546879599393. The next prime is 546879599423. The reversal of 546879599400 is 4995978645.

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 95 ways as a sum of consecutive naturals, for example, 28132084 + ... + 28151516.

It is an arithmetic number, because the mean of its divisors is an integer number (4879877400).

Almost surely, 2^546879599400 is an apocalyptic number.

546879599400 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 546879599400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936936460800).

546879599400 is an abundant number, since it is smaller than the sum of its proper divisors (1326993322200).

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

546879599400 is a wasteful number, since it uses less digits than its factorization.

546879599400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19589 (or 19580 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 546879599400 in words is "five hundred forty-six billion, eight hundred seventy-nine million, five hundred ninety-nine thousand, four hundred".