53258549984640 has 4096 divisors, whose sum is σ = 266893885440000. Its totient is φ = 9881019187200.

The previous prime is 53258549984623. The next prime is 53258549984669. The reversal of 53258549984640 is 4648994585235.

53258549984640 is a `hidden beast` number, since 5 + 3 + 2 + 58 + 5 + 499 + 8 + 46 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 26274567307 + ... + 26274569333.

It is an arithmetic number, because the mean of its divisors is an integer number (65159640000).

Almost surely, 2^{53258549984640} 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 53258549984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133446942720000).

53258549984640 is an abundant number, since it is smaller than the sum of its proper divisors (213635335455360).

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

53258549984640 is a wasteful number, since it uses less digits than its factorization.

53258549984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 1492992000, while the sum is 72.

The spelling of 53258549984640 in words is "fifty-three trillion, two hundred fifty-eight billion, five hundred forty-nine million, nine hundred eighty-four thousand, six hundred forty".