53441954167680 has 512 divisors, whose sum is σ = 203990645376000. Its totient is φ = 13144774680576.

The previous prime is 53441954167639. The next prime is 53441954167747. The reversal of 53441954167680 is 8676145914435.

53441954167680 is a `hidden beast` number, since 5 + 3 + 4 + 4 + 1 + 9 + 541 + 6 + 7 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292614631 + ... + 292797209.

It is an arithmetic number, because the mean of its divisors is an integer number (398419229250).

Almost surely, 2^{53441954167680} 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 53441954167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101995322688000).

53441954167680 is an abundant number, since it is smaller than the sum of its proper divisors (150548691208320).

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

53441954167680 is a wasteful number, since it uses less digits than its factorization.

53441954167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183923 (or 183905 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 53441954167680 in words is "fifty-three trillion, four hundred forty-one billion, nine hundred fifty-four million, one hundred sixty-seven thousand, six hundred eighty".