55287867600 has 720 divisors, whose sum is σ = 232689928320. Its totient is φ = 12213504000.

The previous prime is 55287867581. The next prime is 55287867637. The reversal of 55287867600 is 676878255.

55287867600 is a `hidden beast` number, since 5 + 5 + 28 + 7 + 8 + 6 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72651220 + ... + 72651980.

It is an arithmetic number, because the mean of its divisors is an integer number (323180456).

Almost surely, 2^55287867600 is an apocalyptic number.

55287867600 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 55287867600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116344964160).

55287867600 is an abundant number, since it is smaller than the sum of its proper divisors (177402060720).

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

55287867600 is a wasteful number, since it uses less digits than its factorization.

55287867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 55287867600 in words is "fifty-five billion, two hundred eighty-seven million, eight hundred sixty-seven thousand, six hundred".