59749050816 has 1344 divisors, whose sum is σ = 242841231360. Its totient is φ = 14213283840.

The previous prime is 59749050773. The next prime is 59749050839. The reversal of 59749050816 is 61805094795.

59749050816 is a `hidden beast` number, since 5 + 97 + 49 + 0 + 508 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 580087821 + ... + 580087923.

It is an arithmetic number, because the mean of its divisors is an integer number (180685440).

Almost surely, 2^59749050816 is an apocalyptic number.

59749050816 is a gapful number since it is divisible by the number (56) 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 59749050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121420615680).

59749050816 is an abundant number, since it is smaller than the sum of its proper divisors (183092180544).

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

59749050816 is a wasteful number, since it uses less digits than its factorization.

59749050816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 59749050816 in words is "fifty-nine billion, seven hundred forty-nine million, fifty thousand, eight hundred sixteen".