49755475445760 has 5760 divisors, whose sum is σ = 238945732945920. Its totient is φ = 9809952768000.

The previous prime is 49755475445671. The next prime is 49755475445881. The reversal of 49755475445760 is 6754457455794.

49755475445760 is a `hidden beast` number, since 4 + 9 + 7 + 5 + 5 + 4 + 7 + 5 + 44 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 492628469710 + ... + 492628469810.

It is an arithmetic number, because the mean of its divisors is an integer number (41483634192).

Almost surely, 2^{49755475445760} is an apocalyptic number.

49755475445760 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 49755475445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119472866472960).

49755475445760 is an abundant number, since it is smaller than the sum of its proper divisors (189190257500160).

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

49755475445760 is a wasteful number, since it uses less digits than its factorization.

49755475445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2963520000, while the sum is 72.

The spelling of 49755475445760 in words is "forty-nine trillion, seven hundred fifty-five billion, four hundred seventy-five million, four hundred forty-five thousand, seven hundred sixty".