49231828800 has 756 divisors, whose sum is σ = 222089508576. Its totient is φ = 10228377600.

The previous prime is 49231828787. The next prime is 49231828823. The reversal of 49231828800 is 882813294.

49231828800 is a `hidden beast` number, since 492 + 3 + 1 + 82 + 8 + 80 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7758429 + ... + 7764771.

Almost surely, 2^49231828800 is an apocalyptic number.

49231828800 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 49231828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111044754288).

49231828800 is an abundant number, since it is smaller than the sum of its proper divisors (172857679776).

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

49231828800 is a wasteful number, since it uses less digits than its factorization.

49231828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 49231828800 in words is "forty-nine billion, two hundred thirty-one million, eight hundred twenty-eight thousand, eight hundred".