49780785600 has 1764 divisors, whose sum is σ = 233505643224. Its totient is φ = 10346434560.

The previous prime is 49780785599. The next prime is 49780785617. The reversal of 49780785600 is 658708794.

49780785600 is a `hidden beast` number, since 4 + 9 + 7 + 8 + 0 + 78 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1764).

It is a super-2 number, since 2×49780785600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 742996767 + ... + 742996833.

Almost surely, 2^49780785600 is an apocalyptic number.

49780785600 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 49780785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116752821612).

49780785600 is an abundant number, since it is smaller than the sum of its proper divisors (183724857624).

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

49780785600 is a wasteful number, since it uses less digits than its factorization.

49780785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 49780785600 in words is "forty-nine billion, seven hundred eighty million, seven hundred eighty-five thousand, six hundred".