49920000000 has 480 divisors, whose sum is σ = 179194072512. Its totient is φ = 12288000000.

The previous prime is 49919999977. The next prime is 49920000007. The reversal of 49920000000 is 2994.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5200 × 2000 × 4800.

It is not an unprimeable number, because it can be changed into a prime (49920000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3839999994 + ... + 3840000006.

Almost surely, 2^49920000000 is an apocalyptic number.

49920000000 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 49920000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89597036256).

49920000000 is an abundant number, since it is smaller than the sum of its proper divisors (129274072512).

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

49920000000 is an frugal number, since it uses more digits than its factorization.

49920000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 49920000000 its reverse (2994), we get a palindrome (49920002994).

The spelling of 49920000000 in words is "forty-nine billion, nine hundred twenty million", and thus it is an aban number.