55948435200 has 972 divisors, whose sum is σ = 238613743368. Its totient is φ = 12463718400.

The previous prime is 55948435189. The next prime is 55948435267. The reversal of 55948435200 is 253484955.

55948435200 is a `hidden beast` number, since 5 + 5 + 9 + 4 + 8 + 435 + 200 = 666.

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 107 ways as a sum of consecutive naturals, for example, 121362970 + ... + 121363430.

Almost surely, 2^55948435200 is an apocalyptic number.

55948435200 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 55948435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119306871684).

55948435200 is an abundant number, since it is smaller than the sum of its proper divisors (182665308168).

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

55948435200 is a wasteful number, since it uses less digits than its factorization.

55948435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 55948435200 in words is "fifty-five billion, nine hundred forty-eight million, four hundred thirty-five thousand, two hundred".