54552607200 has 864 divisors, whose sum is σ = 238859712000. Its totient is φ = 11408117760.

The previous prime is 54552607171. The next prime is 54552607229. The reversal of 54552607200 is 270625545.

54552607200 is a `hidden beast` number, since 5 + 45 + 5 + 2 + 607 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54552607171) and next prime (54552607229).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91072501 + ... + 91073099.

It is an arithmetic number, because the mean of its divisors is an integer number (276458000).

Almost surely, 2^54552607200 is an apocalyptic number.

54552607200 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 54552607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119429856000).

54552607200 is an abundant number, since it is smaller than the sum of its proper divisors (184307104800).

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

54552607200 is a wasteful number, since it uses less digits than its factorization.

54552607200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 54552607200 in words is "fifty-four billion, five hundred fifty-two million, six hundred seven thousand, two hundred".