55031613955200 has 288 divisors, whose sum is σ = 197129504260260. Its totient is φ = 14617993543680.

The previous prime is 55031613955193. The next prime is 55031613955211. The reversal of 55031613955200 is 255931613055.

55031613955200 is a `hidden beast` number, since 5 + 5 + 0 + 3 + 1 + 61 + 39 + 552 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 45564768028224 + 9466845926976 = 6750168^2 + 3076824^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3684052 + ... + 11119148.

Almost surely, 2^{55031613955200} is an apocalyptic number.

55031613955200 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 55031613955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98564752130130).

55031613955200 is an abundant number, since it is smaller than the sum of its proper divisors (142097890305060).

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

55031613955200 is a wasteful number, since it uses less digits than its factorization.

55031613955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7435384 (or 7435364 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 45.

The spelling of 55031613955200 in words is "fifty-five trillion, thirty-one billion, six hundred thirteen million, nine hundred fifty-five thousand, two hundred".