55160141400 has 1920 divisors, whose sum is σ = 261343272960. Its totient is φ = 10450944000.

The previous prime is 55160141339. The next prime is 55160141419. The reversal of 55160141400 is 414106155.

55160141400 is a `hidden beast` number, since 5 + 51 + 601 + 4 + 1 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 776903365 + ... + 776903435.

It is an arithmetic number, because the mean of its divisors is an integer number (136116288).

Almost surely, 2^55160141400 is an apocalyptic number.

55160141400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55160141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130671636480).

55160141400 is an abundant number, since it is smaller than the sum of its proper divisors (206183131560).

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

55160141400 is a wasteful number, since it uses less digits than its factorization.

55160141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 55160141400 its reverse (414106155), we get a palindrome (55574247555).

The spelling of 55160141400 in words is "fifty-five billion, one hundred sixty million, one hundred forty-one thousand, four hundred".