53106935361480 has 768 divisors, whose sum is σ = 234672889651200. Its totient is φ = 10057398773760.

The previous prime is 53106935361419. The next prime is 53106935361517. The reversal of 53106935361480 is 8416353960135.

53106935361480 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 6 + 93 + 536 + 14 + 8 + 0 = 666.

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, 27535707 + ... + 29401173.

It is an arithmetic number, because the mean of its divisors is an integer number (305563658400).

Almost surely, 2^{53106935361480} 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 53106935361480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117336444825600).

53106935361480 is an abundant number, since it is smaller than the sum of its proper divisors (181565954289720).

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

53106935361480 is a wasteful number, since it uses less digits than its factorization.

53106935361480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865594 (or 1865587 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 53106935361480 in words is "fifty-three trillion, one hundred six billion, nine hundred thirty-five million, three hundred sixty-one thousand, four hundred eighty".