55064422857600 has 1152 divisors, whose sum is σ = 225365588491680. Its totient is φ = 13187896934400.

The previous prime is 55064422857593. The next prime is 55064422857607. The reversal of 55064422857600 is 675822446055.

55064422857600 is a `hidden beast` number, since 5 + 5 + 0 + 6 + 4 + 4 + 2 + 28 + 5 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (55064422857593) and next prime (55064422857607).

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55064422857607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 373951990 + ... + 374099210.

Almost surely, 2^{55064422857600} is an apocalyptic number.

55064422857600 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 55064422857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112682794245840).

55064422857600 is an abundant number, since it is smaller than the sum of its proper divisors (170301165634080).

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

55064422857600 is a wasteful number, since it uses less digits than its factorization.

55064422857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147310 (or 147281 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 55064422857600 in words is "fifty-five trillion, sixty-four billion, four hundred twenty-two million, eight hundred fifty-seven thousand, six hundred".