49559923200 has 720 divisors, whose sum is σ = 181388211840. Its totient is φ = 11884953600.

The previous prime is 49559923163. The next prime is 49559923207. The reversal of 49559923200 is 232995594.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49559923200.

It is not an unprimeable number, because it can be changed into a prime (49559923207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 627340761 + ... + 627340839.

It is an arithmetic number, because the mean of its divisors is an integer number (251928072).

Almost surely, 2^49559923200 is an apocalyptic number.

49559923200 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 49559923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90694105920).

49559923200 is an abundant number, since it is smaller than the sum of its proper divisors (131828288640).

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

49559923200 is a wasteful number, since it uses less digits than its factorization.

49559923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 49559923200 in words is "forty-nine billion, five hundred fifty-nine million, nine hundred twenty-three thousand, two hundred".