54596860416 has 240 divisors, whose sum is σ = 183916871424. Its totient is φ = 15266783232.

The previous prime is 54596860393. The next prime is 54596860429. The reversal of 54596860416 is 61406869545.

54596860416 is a `hidden beast` number, since 5 + 4 + 596 + 8 + 6 + 0 + 41 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1498026 + ... + 1534038.

Almost surely, 2^54596860416 is an apocalyptic number.

54596860416 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 54596860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91958435712).

54596860416 is an abundant number, since it is smaller than the sum of its proper divisors (129320011008).

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

54596860416 is a wasteful number, since it uses less digits than its factorization.

54596860416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36091 (or 36072 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 54596860416 in words is "fifty-four billion, five hundred ninety-six million, eight hundred sixty thousand, four hundred sixteen".