55535865477120 has 3072 divisors, whose sum is σ = 241943533977600. Its totient is φ = 11816534016000.

The previous prime is 55535865477097. The next prime is 55535865477137. The reversal of 55535865477120 is 2177456853555.

55535865477120 is a `hidden beast` number, since 5 + 5 + 5 + 3 + 5 + 86 + 547 + 7 + 1 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 263203153815 + ... + 263203154025.

It is an arithmetic number, because the mean of its divisors is an integer number (78757660800).

Almost surely, 2^{55535865477120} 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 55535865477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120971766988800).

55535865477120 is an abundant number, since it is smaller than the sum of its proper divisors (186407668500480).

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

55535865477120 is a wasteful number, since it uses less digits than its factorization.

55535865477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 176400000, while the sum is 63.

The spelling of 55535865477120 in words is "fifty-five trillion, five hundred thirty-five billion, eight hundred sixty-five million, four hundred seventy-seven thousand, one hundred twenty".