55161600 has 324 divisors, whose sum is σ = 208721016. Its totient is φ = 12779520.

The previous prime is 55161581. The next prime is 55161619. The reversal of 55161600 is 616155.

It is an interprime number because it is at equal distance from previous prime (55161581) and next prime (55161619).

It is a super-2 number, since 2×55161600² = 6085604229120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3244792 + ... + 3244808.

Almost surely, 2^55161600 is an apocalyptic number.

55161600 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 55161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104360508).

55161600 is an abundant number, since it is smaller than the sum of its proper divisors (153559416).

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

55161600 is a wasteful number, since it uses less digits than its factorization.

55161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 55161600 is about 7427.0855656846. The cubic root of 55161600 is about 380.6673407457.

Adding to 55161600 its reverse (616155), we get a palindrome (55777755).

The spelling of 55161600 in words is "fifty-five million, one hundred sixty-one thousand, six hundred".