55867644000 has 2016 divisors, whose sum is σ = 264511106496. Its totient is φ = 11496038400.

The previous prime is 55867643987. The next prime is 55867644059. The reversal of 55867644000 is 44676855.

55867644000 is a `hidden beast` number, since 5 + 586 + 7 + 64 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×55867644000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2429027989 + ... + 2429028011.

It is an arithmetic number, because the mean of its divisors is an integer number (131205906).

Almost surely, 2^55867644000 is an apocalyptic number.

55867644000 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 55867644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132255553248).

55867644000 is an abundant number, since it is smaller than the sum of its proper divisors (208643462496).

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

55867644000 is a wasteful number, since it uses less digits than its factorization.

55867644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 55867644000 in words is "fifty-five billion, eight hundred sixty-seven million, six hundred forty-four thousand".