49576665600 has 1920 divisors, whose sum is σ = 239658946560. Its totient is φ = 9853747200.

The previous prime is 49576665583. The next prime is 49576665683. The reversal of 49576665600 is 656667594.

49576665600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 2155507189 + ... + 2155507211.

It is an arithmetic number, because the mean of its divisors is an integer number (124822368).

Almost surely, 2^49576665600 is an apocalyptic number.

49576665600 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 49576665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119829473280).

49576665600 is an abundant number, since it is smaller than the sum of its proper divisors (190082280960).

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

49576665600 is an equidigital number, since it uses as much as digits as its factorization.

49576665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 49576665600 in words is "forty-nine billion, five hundred seventy-six million, six hundred sixty-five thousand, six hundred".