55633615994880 has 1440 divisors, whose sum is σ = 242096017363200. Its totient is φ = 11480900567040.

The previous prime is 55633615994861. The next prime is 55633615994947. The reversal of 55633615994880 is 8849951633655.

55633615994880 is a `hidden beast` number, since 5 + 5 + 6 + 33 + 61 + 59 + 9 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 55633615994799 and 55633615994808.

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, 8458810152 + ... + 8458816728.

It is an arithmetic number, because the mean of its divisors is an integer number (168122234280).

Almost surely, 2^{55633615994880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55633615994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121048008681600).

55633615994880 is an abundant number, since it is smaller than the sum of its proper divisors (186462401368320).

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

55633615994880 is a wasteful number, since it uses less digits than its factorization.

55633615994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 55633615994880 in words is "fifty-five trillion, six hundred thirty-three billion, six hundred fifteen million, nine hundred ninety-four thousand, eight hundred eighty".