49533891379200 has 858 divisors, whose sum is σ = 184265032997469. Its totient is φ = 13209037701120.

The previous prime is 49533891379171. The next prime is 49533891379213. The reversal of 49533891379200 is 297319833594.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (4!)⁵ ⋅ 3! ⋅ 2!.

49533891379200 is a `hidden beast` number, since 4 + 9 + 5 + 338 + 91 + 3 + 7 + 9 + 200 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48543213551616 + 990677827584 = 6967296^2 + 995328^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4976640.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 9906778275838 + ... + 9906778275842.

Almost surely, 2^{49533891379200} is an apocalyptic number.

49533891379200 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 49533891379200

49533891379200 is an abundant number, since it is smaller than the sum of its proper divisors (134731141618269).

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

49533891379200 is an frugal number, since it uses more digits than its factorization.

49533891379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 49533891379200 in words is "forty-nine trillion, five hundred thirty-three billion, eight hundred ninety-one million, three hundred seventy-nine thousand, two hundred".