55538590187520 has 3072 divisors, whose sum is σ = 235629047808000. Its totient is φ = 12360540487680.

The previous prime is 55538590187473. The next prime is 55538590187669. The reversal of 55538590187520 is 2578109583555.

It is a happy number.

55538590187520 is a `hidden beast` number, since 5 + 5 + 5 + 3 + 8 + 5 + 90 + 18 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 437311733697 + ... + 437311733823.

It is an arithmetic number, because the mean of its divisors is an integer number (76702164000).

Almost surely, 2^{55538590187520} 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 55538590187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117814523904000).

55538590187520 is an abundant number, since it is smaller than the sum of its proper divisors (180090457620480).

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

55538590187520 is a wasteful number, since it uses less digits than its factorization.

55538590187520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 75600000, while the sum is 63.

The spelling of 55538590187520 in words is "fifty-five trillion, five hundred thirty-eight billion, five hundred ninety million, one hundred eighty-seven thousand, five hundred twenty".