49519360800 has 1728 divisors, whose sum is σ = 231903907200. Its totient is φ = 10102579200.

The previous prime is 49519360783. The next prime is 49519360817. The reversal of 49519360800 is 806391594.

It is a happy number.

49519360800 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 (49519360783) and next prime (49519360817).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 811792770 + ... + 811792830.

It is an arithmetic number, because the mean of its divisors is an integer number (134203650).

Almost surely, 2^49519360800 is an apocalyptic number.

49519360800 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 49519360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115951953600).

49519360800 is an abundant number, since it is smaller than the sum of its proper divisors (182384546400).

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

49519360800 is a wasteful number, since it uses less digits than its factorization.

49519360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 49519360800 in words is "forty-nine billion, five hundred nineteen million, three hundred sixty thousand, eight hundred".