53861881328640 has 2112 divisors, whose sum is σ = 235559229954048. Its totient is φ = 11054776320000.

The previous prime is 53861881328627. The next prime is 53861881328701. The reversal of 53861881328640 is 4682318816835.

53861881328640 is a `hidden beast` number, since 5 + 3 + 8 + 618 + 8 + 1 + 3 + 2 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×53861881328640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175445867367 + ... + 175445867673.

It is an arithmetic number, because the mean of its divisors is an integer number (111533726304).

Almost surely, 2^{53861881328640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53861881328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117779614977024).

53861881328640 is an abundant number, since it is smaller than the sum of its proper divisors (181697348625408).

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

53861881328640 is a wasteful number, since it uses less digits than its factorization.

53861881328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 53861881328640 in words is "fifty-three trillion, eight hundred sixty-one billion, eight hundred eighty-one million, three hundred twenty-eight thousand, six hundred forty".