55416685162032 has 320 divisors, whose sum is σ = 160579242270720. Its totient is φ = 18297460224000.

The previous prime is 55416685161991. The next prime is 55416685162057. The reversal of 55416685162032 is 23026158661455.

55416685162032 is a `hidden beast` number, since 5 + 5 + 4 + 1 + 6 + 6 + 8 + 5 + 1 + 620 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 55416685162032.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37418422732 + ... + 37418424212.

It is an arithmetic number, because the mean of its divisors is an integer number (501810132096).

Almost surely, 2^{55416685162032} 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 55416685162032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80289621135360).

55416685162032 is an abundant number, since it is smaller than the sum of its proper divisors (105162557108688).

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

55416685162032 is a wasteful number, since it uses less digits than its factorization.

55416685162032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 55416685162032 in words is "fifty-five trillion, four hundred sixteen billion, six hundred eighty-five million, one hundred sixty-two thousand, thirty-two".