49781032560 has 720 divisors, whose sum is σ = 209583728640. Its totient is φ = 10527390720.

The previous prime is 49781032559. The next prime is 49781032573. The reversal of 49781032560 is 6523018794.

49781032560 is a `hidden beast` number, since 4 + 9 + 7 + 81 + 0 + 3 + 2 + 560 = 666.

49781032560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25153651 + ... + 25155629.

It is an arithmetic number, because the mean of its divisors is an integer number (291088512).

It is a 1-persistent number, because it is pandigital, but 2⋅49781032560 = 99562065120 is not.

Almost surely, 2^49781032560 is an apocalyptic number.

49781032560 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 49781032560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104791864320).

49781032560 is an abundant number, since it is smaller than the sum of its proper divisors (159802696080).

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

49781032560 is a wasteful number, since it uses less digits than its factorization.

49781032560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 49781032560 in words is "forty-nine billion, seven hundred eighty-one million, thirty-two thousand, five hundred sixty".