53123508728640 has 1344 divisors, whose sum is σ = 220598575718400. Its totient is φ = 11998854217728.

The previous prime is 53123508728639. The next prime is 53123508728657. The reversal of 53123508728640 is 4682780532135.

53123508728640 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 3 + 508 + 72 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×53123508728640³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 14463245844 + ... + 14463249516.

Almost surely, 2^{53123508728640} 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 53123508728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110299287859200).

53123508728640 is an abundant number, since it is smaller than the sum of its proper divisors (167475066989760).

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

53123508728640 is a wasteful number, since it uses less digits than its factorization.

53123508728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 53123508728640 in words is "fifty-three trillion, one hundred twenty-three billion, five hundred eight million, seven hundred twenty-eight thousand, six hundred forty".