55776000 has 288 divisors, whose sum is σ = 214276608. Its totient is φ = 12595200.

The previous prime is 55775969. The next prime is 55776013. The reversal of 55776000 is 67755.

It is a super-2 number, since 2×55776000² = 6221924352000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671959 + ... + 672041.

It is an arithmetic number, because the mean of its divisors is an integer number (744016).

Almost surely, 2^55776000 is an apocalyptic number.

55776000 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 55776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138304).

55776000 is an abundant number, since it is smaller than the sum of its proper divisors (158500608).

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

55776000 is an equidigital number, since it uses as much as digits as its factorization.

55776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 55776000 is about 7468.3331473629. Note that the first 3 decimals coincide. The cubic root of 55776000 is about 382.0754399036.

The spelling of 55776000 in words is "fifty-five million, seven hundred seventy-six thousand".