54635609565936 has 480 divisors, whose sum is σ = 181367407742976. Its totient is φ = 15024489984000.

The previous prime is 54635609565917. The next prime is 54635609565947. The reversal of 54635609565936 is 63956590653645.

It is a happy number.

54635609565936 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 5 + 609 + 5 + 6 + 5 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 4890837631 + ... + 4890848801.

Almost surely, 2^{54635609565936} is an apocalyptic number.

54635609565936 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 54635609565936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90683703871488).

54635609565936 is an abundant number, since it is smaller than the sum of its proper divisors (126731798177040).

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

54635609565936 is a wasteful number, since it uses less digits than its factorization.

54635609565936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12061 (or 12052 counting only the distinct ones).

The product of its (nonzero) digits is 2361960000, while the sum is 72.

The spelling of 54635609565936 in words is "fifty-four trillion, six hundred thirty-five billion, six hundred nine million, five hundred sixty-five thousand, nine hundred thirty-six".