49619980800 has 720 divisors, whose sum is σ = 202588986600. Its totient is φ = 11489771520.

The previous prime is 49619980789. The next prime is 49619980807. The reversal of 49619980800 is 808991694.

It can be written as a sum of positive squares in 12 ways, for example, as 6402560256 + 43217420544 = 80016^2 + 207888^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (49619980807) 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, 25458226 + ... + 25460174.

Almost surely, 2^49619980800 is an apocalyptic number.

49619980800 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 49619980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101294493300).

49619980800 is an abundant number, since it is smaller than the sum of its proper divisors (152969005800).

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

49619980800 is a wasteful number, since it uses less digits than its factorization.

49619980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 49619980800 in words is "forty-nine billion, six hundred nineteen million, nine hundred eighty thousand, eight hundred".