49578181200 has 270 divisors, whose sum is σ = 182769816554. Its totient is φ = 12442890240.

The previous prime is 49578181187. The next prime is 49578181249. The reversal of 49578181200 is 218187594.

49578181200 is a `hidden beast` number, since 49 + 578 + 18 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 5286453264 + 44291727936 = 72708^2 + 210456^2 .

It is a super-2 number, since 2×49578181200² (a number of 22 digits) contains 22 as substring.

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 53 ways as a sum of consecutive naturals, for example, 1016574 + ... + 1064226.

Almost surely, 2^49578181200 is an apocalyptic number.

49578181200 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 49578181200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91384908277).

49578181200 is an abundant number, since it is smaller than the sum of its proper divisors (133191635354).

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

49578181200 is a wasteful number, since it uses less digits than its factorization.

49578181200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47711 (or 47680 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 49578181200 in words is "forty-nine billion, five hundred seventy-eight million, one hundred eighty-one thousand, two hundred".