53518700505816 has 2048 divisors, whose sum is σ = 201500393472000. Its totient is φ = 12776614963200.

The previous prime is 53518700505691. The next prime is 53518700505833. The reversal of 53518700505816 is 61850500781535.

53518700505816 is a `hidden beast` number, since 5 + 3 + 5 + 1 + 8 + 7 + 0 + 0 + 50 + 581 + 6 = 666.

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 511 ways as a sum of consecutive naturals, for example, 161687916771 + ... + 161687917101.

It is an arithmetic number, because the mean of its divisors is an integer number (98388864000).

Almost surely, 2^{53518700505816} is an apocalyptic number.

53518700505816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53518700505816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100750196736000).

53518700505816 is an abundant number, since it is smaller than the sum of its proper divisors (147981692966184).

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

53518700505816 is a wasteful number, since it uses less digits than its factorization.

53518700505816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 53518700505816 in words is "fifty-three trillion, five hundred eighteen billion, seven hundred million, five hundred five thousand, eight hundred sixteen".