49599625152 has 336 divisors, whose sum is σ = 169696985472. Its totient is φ = 12638545920.

The previous prime is 49599625123. The next prime is 49599625217. The reversal of 49599625152 is 25152699594.

It is a happy number.

49599625152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×49599625152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49599625092 and 49599625101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5480343 + ... + 5489385.

It is an arithmetic number, because the mean of its divisors is an integer number (505050552).

Almost surely, 2^49599625152 is an apocalyptic number.

49599625152 is a gapful number since it is divisible by the number (42) 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 49599625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84848492736).

49599625152 is an abundant number, since it is smaller than the sum of its proper divisors (120097360320).

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

49599625152 is a wasteful number, since it uses less digits than its factorization.

49599625152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136 (or 9119 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 57.

The spelling of 49599625152 in words is "forty-nine billion, five hundred ninety-nine million, six hundred twenty-five thousand, one hundred fifty-two".