53149011568128 has 960 divisors, whose sum is σ = 195938954640000. Its totient is φ = 13799135379456.

The previous prime is 53149011568127. The next prime is 53149011568129. The reversal of 53149011568128 is 82186511094135.

53149011568128 is a `hidden beast` number, since 5 + 3 + 1 + 49 + 0 + 11 + 568 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (53149011568127) and next prime (53149011568129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53149011568127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 779174088 + ... + 779242296.

It is an arithmetic number, because the mean of its divisors is an integer number (204103077750).

Almost surely, 2^{53149011568128} is an apocalyptic number.

53149011568128 is a gapful number since it is divisible by the number (58) 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 53149011568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97969477320000).

53149011568128 is an abundant number, since it is smaller than the sum of its proper divisors (142789943071872).

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

53149011568128 is a wasteful number, since it uses less digits than its factorization.

53149011568128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68300 (or 68267 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 53149011568128 in words is "fifty-three trillion, one hundred forty-nine billion, eleven million, five hundred sixty-eight thousand, one hundred twenty-eight".