53985517373160 has 384 divisors, whose sum is σ = 190707484032000. Its totient is φ = 13194167500800.

The previous prime is 53985517373143. The next prime is 53985517373173. The reversal of 53985517373160 is 6137371558935.

It is a happy number.

53985517373160 is a `hidden beast` number, since 5 + 3 + 9 + 8 + 551 + 7 + 3 + 73 + 1 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671914590 + ... + 671994930.

It is an arithmetic number, because the mean of its divisors is an integer number (496634073000).

Almost surely, 2^{53985517373160} 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 53985517373160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95353742016000).

53985517373160 is an abundant number, since it is smaller than the sum of its proper divisors (136721966658840).

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

53985517373160 is a wasteful number, since it uses less digits than its factorization.

53985517373160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83577 (or 83570 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 53985517373160 in words is "fifty-three trillion, nine hundred eighty-five billion, five hundred seventeen million, three hundred seventy-three thousand, one hundred sixty".