53540123616 has 216 divisors, whose sum is σ = 181901243160. Its totient is φ = 14883595776.

The previous prime is 53540123587. The next prime is 53540123671. The reversal of 53540123616 is 61632104535.

53540123616 is a `hidden beast` number, since 5 + 3 + 5 + 401 + 236 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470875 + ... + 573413.

It is an arithmetic number, because the mean of its divisors is an integer number (842135385).

Almost surely, 2^53540123616 is an apocalyptic number.

53540123616 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 53540123616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90950621580).

53540123616 is an abundant number, since it is smaller than the sum of its proper divisors (128361119544).

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

53540123616 is a wasteful number, since it uses less digits than its factorization.

53540123616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102606 (or 102588 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 53540123616 in words is "fifty-three billion, five hundred forty million, one hundred twenty-three thousand, six hundred sixteen".