49819554000 has 720 divisors, whose sum is σ = 189067462896. Its totient is φ = 12220416000.

The previous prime is 49819553999. The next prime is 49819554047. The reversal of 49819554000 is 45591894.

49819554000 is a `hidden beast` number, since 4 + 98 + 1 + 9 + 554 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 49598853264 + 220700736 = 222708^2 + 14856^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 317321922 + ... + 317322078.

Almost surely, 2^49819554000 is an apocalyptic number.

49819554000 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 49819554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94533731448).

49819554000 is an abundant number, since it is smaller than the sum of its proper divisors (139247908896).

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

49819554000 is a wasteful number, since it uses less digits than its factorization.

49819554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 49819554000 in words is "forty-nine billion, eight hundred nineteen million, five hundred fifty-four thousand".