55019952000 has 1024 divisors, whose sum is σ = 222678892800. Its totient is φ = 13271040000.

The previous prime is 55019951983. The next prime is 55019952007. The reversal of 55019952000 is 25991055.

55019952000 is a `hidden beast` number, since 550 + 19 + 95 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55019952007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 544751950 + ... + 544752050.

Almost surely, 2^55019952000 is an apocalyptic number.

55019952000 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 55019952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111339446400).

55019952000 is an abundant number, since it is smaller than the sum of its proper divisors (167658940800).

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

55019952000 is a wasteful number, since it uses less digits than its factorization.

55019952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The spelling of 55019952000 in words is "fifty-five billion, nineteen million, nine hundred fifty-two thousand".