55356867149760 has 1120 divisors, whose sum is σ = 217442056677120. Its totient is φ = 13256707276800.

The previous prime is 55356867149741. The next prime is 55356867149789. The reversal of 55356867149760 is 6794176865355.

55356867149760 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 6 + 8 + 6 + 71 + 497 + 60 = 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 159 ways as a sum of consecutive naturals, for example, 8478610176 + ... + 8478616704.

Almost surely, 2^{55356867149760} 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 55356867149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108721028338560).

55356867149760 is an abundant number, since it is smaller than the sum of its proper divisors (162085189527360).

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

55356867149760 is a wasteful number, since it uses less digits than its factorization.

55356867149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6927 (or 6908 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 55356867149760 in words is "fifty-five trillion, three hundred fifty-six billion, eight hundred sixty-seven million, one hundred forty-nine thousand, seven hundred sixty".