49681420560 has 120 divisors (see below), whose sum is σ = 167212969560. Its totient is φ = 13219301376.

The previous prime is 49681420531. The next prime is 49681420583. The reversal of 49681420560 is 6502418694.

49681420560 is a `hidden beast` number, since 4 + 9 + 6 + 81 + 4 + 2 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11426754816 + 38254665744 = 106896^2 + 195588^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253546 + ... + 404534.

It is an arithmetic number, because the mean of its divisors is an integer number (1393441413).

Almost surely, 2^49681420560 is an apocalyptic number.

49681420560 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 49681420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83606484780).

49681420560 is an abundant number, since it is smaller than the sum of its proper divisors (117531549000).

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

49681420560 is a wasteful number, since it uses less digits than its factorization.

49681420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151465 (or 151456 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 49681420560 in words is "forty-nine billion, six hundred eighty-one million, four hundred twenty thousand, five hundred sixty".