55745280 has 144 divisors (see below), whose sum is σ = 197940960. Its totient is φ = 14856192.

The previous prime is 55745269. The next prime is 55745293. The reversal of 55745280 is 8254755.

It is a happy number.

55745280 is a `hidden beast` number, since 5 + 574 + 5 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33754 + ... + 35366.

It is an arithmetic number, because the mean of its divisors is an integer number (1374590).

Almost surely, 2^55745280 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 55745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98970480).

55745280 is an abundant number, since it is smaller than the sum of its proper divisors (142195680).

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

55745280 is a wasteful number, since it uses less digits than its factorization.

55745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 55745280 is about 7466.2761802655. The cubic root of 55745280 is about 382.0052812150.

The spelling of 55745280 in words is "fifty-five million, seven hundred forty-five thousand, two hundred eighty".