49825120346880 has 576 divisors, whose sum is σ = 166095818058240. Its totient is φ = 12717241270272.

The previous prime is 49825120346879. The next prime is 49825120346909. The reversal of 49825120346880 is 8864302152894.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 7872507556 + ... + 7872513884.

It is an arithmetic number, because the mean of its divisors is an integer number (288360795240).

Almost surely, 2^{49825120346880} is an apocalyptic number.

49825120346880 is a gapful number since it is divisible by the number (40) 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 49825120346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83047909029120).

49825120346880 is an abundant number, since it is smaller than the sum of its proper divisors (116270697711360).

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

49825120346880 is a wasteful number, since it uses less digits than its factorization.

49825120346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 49825120346880 in words is "forty-nine trillion, eight hundred twenty-five billion, one hundred twenty million, three hundred forty-six thousand, eight hundred eighty".