49735327080960 has 480 divisors, whose sum is σ = 175309550095680. Its totient is φ = 13027342516224.

The previous prime is 49735327080949. The next prime is 49735327080961. The reversal of 49735327080960 is 6908072353794.

49735327080960 is a `hidden beast` number, since 4 + 9 + 7 + 3 + 532 + 7 + 0 + 8 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (49735327080961) 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, 1744044622 + ... + 1744073138.

It is an arithmetic number, because the mean of its divisors is an integer number (365228229366).

Almost surely, 2^{49735327080960} is an apocalyptic number.

49735327080960 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 49735327080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87654775047840).

49735327080960 is an abundant number, since it is smaller than the sum of its proper divisors (125574223014720).

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

49735327080960 is a wasteful number, since it uses less digits than its factorization.

49735327080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29888 (or 29869 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 49735327080960 in words is "forty-nine trillion, seven hundred thirty-five billion, three hundred twenty-seven million, eighty thousand, nine hundred sixty".