59849812224 has 144 divisors (see below), whose sum is σ = 182696317440. Its totient is φ = 19306321920.

The previous prime is 59849812219. The next prime is 59849812229. The reversal of 59849812224 is 42221894895.

59849812224 is a `hidden beast` number, since 5 + 9 + 8 + 498 + 122 + 24 = 666.

59849812224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59849812219) and next prime (59849812229).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×59849812224³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (59849812229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74614 + ... + 353930.

Almost surely, 2^59849812224 is an apocalyptic number.

59849812224 is a gapful number since it is divisible by the number (54) 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 59849812224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91348158720).

59849812224 is an abundant number, since it is smaller than the sum of its proper divisors (122846505216).

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

59849812224 is a wasteful number, since it uses less digits than its factorization.

59849812224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279373 (or 279353 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 59849812224 in words is "fifty-nine billion, eight hundred forty-nine million, eight hundred twelve thousand, two hundred twenty-four".