59494411200 has 672 divisors, whose sum is σ = 240649597440. Its totient is φ = 12563251200.

The previous prime is 59494411177. The next prime is 59494411201. The reversal of 59494411200 is 211449495.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59494411201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 26173264 + ... + 26175536.

It is an arithmetic number, because the mean of its divisors is an integer number (358109520).

Almost surely, 2^59494411200 is an apocalyptic number.

59494411200 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 59494411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120324798720).

59494411200 is an abundant number, since it is smaller than the sum of its proper divisors (181155186240).

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

59494411200 is a wasteful number, since it uses less digits than its factorization.

59494411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 59494411200 in words is "fifty-nine billion, four hundred ninety-four million, four hundred eleven thousand, two hundred".