55405025280 has 1152 divisors, whose sum is σ = 226663557120. Its totient is φ = 12386304000.

The previous prime is 55405025233. The next prime is 55405025287. The reversal of 55405025280 is 8252050455.

It is a happy number.

55405025280 is a `hidden beast` number, since 554 + 0 + 5 + 0 + 25 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55405025287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1288488939 + ... + 1288488981.

It is an arithmetic number, because the mean of its divisors is an integer number (196756560).

Almost surely, 2^55405025280 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 55405025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113331778560).

55405025280 is an abundant number, since it is smaller than the sum of its proper divisors (171258531840).

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

55405025280 is a wasteful number, since it uses less digits than its factorization.

55405025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 55405025280 in words is "fifty-five billion, four hundred five million, twenty-five thousand, two hundred eighty".