53782510626 has 128 divisors (see below), whose sum is σ = 135625728000. Its totient is φ = 15661159488.

The previous prime is 53782510609. The next prime is 53782510693. The reversal of 53782510626 is 62601528735.

53782510626 is a `hidden beast` number, since 5 + 3 + 7 + 8 + 2 + 5 + 10 + 626 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19778895 + ... + 19781613.

It is an arithmetic number, because the mean of its divisors is an integer number (1059576000).

Almost surely, 2^53782510626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53782510626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67812864000).

53782510626 is an abundant number, since it is smaller than the sum of its proper divisors (81843217374).

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

53782510626 is a wasteful number, since it uses less digits than its factorization.

53782510626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 53782510626 in words is "fifty-three billion, seven hundred eighty-two million, five hundred ten thousand, six hundred twenty-six".