55364253594624 has 1056 divisors, whose sum is σ = 180006269328000. Its totient is φ = 16801030471680.

The previous prime is 55364253594589. The next prime is 55364253594641. The reversal of 55364253594624 is 42649535246355.

55364253594624 is a `hidden beast` number, since 5 + 5 + 3 + 6 + 4 + 2 + 535 + 94 + 6 + 2 + 4 = 666.

Its product of digits (466560000) is a multiple of the sum of its prime factors (768).

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, 195633404787 + ... + 195633405069.

Almost surely, 2^{55364253594624} is an apocalyptic number.

55364253594624 is a gapful number since it is divisible by the number (54) 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 55364253594624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90003134664000).

55364253594624 is an abundant number, since it is smaller than the sum of its proper divisors (124642015733376).

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

55364253594624 is a wasteful number, since it uses less digits than its factorization.

55364253594624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 731 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 63.

The spelling of 55364253594624 in words is "fifty-five trillion, three hundred sixty-four billion, two hundred fifty-three million, five hundred ninety-four thousand, six hundred twenty-four".