49555832832000 has 2688 divisors, whose sum is σ = 213567146956800. Its totient is φ = 11211374592000.

The previous prime is 49555832831977. The next prime is 49555832832031. The reversal of 49555832832000 is 23823855594.

It is a happy number.

49555832832000 is a `hidden beast` number, since 4 + 9 + 5 + 5 + 583 + 28 + 32 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 739639295967 + ... + 739639296033.

It is an arithmetic number, because the mean of its divisors is an integer number (79452063600).

Almost surely, 2^{49555832832000} is an apocalyptic number.

49555832832000 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 49555832832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106783573478400).

49555832832000 is an abundant number, since it is smaller than the sum of its proper divisors (164011314124800).

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

49555832832000 is an frugal number, since it uses more digits than its factorization.

49555832832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 49555832832000 in words is "forty-nine trillion, five hundred fifty-five billion, eight hundred thirty-two million, eight hundred thirty-two thousand".