49776088320 has 432 divisors, whose sum is σ = 197376816000. Its totient is φ = 11345412096.

The previous prime is 49776088289. The next prime is 49776088321. The reversal of 49776088320 is 2388067794.

49776088320 is a `hidden beast` number, since 4 + 9 + 7 + 7 + 608 + 8 + 3 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49776088321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40238742 + ... + 40239978.

Almost surely, 2^49776088320 is an apocalyptic number.

49776088320 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 49776088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98688408000).

49776088320 is an abundant number, since it is smaller than the sum of its proper divisors (147600727680).

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

49776088320 is a wasteful number, since it uses less digits than its factorization.

49776088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 49776088320 in words is "forty-nine billion, seven hundred seventy-six million, eighty-eight thousand, three hundred twenty".