55201406631700 has 144 divisors (see below), whose sum is σ = 143707046160384. Its totient is φ = 17994914467200.

The previous prime is 55201406631667. The next prime is 55201406631713. The reversal of 55201406631700 is 713660410255.

55201406631700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×55201406631700³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7576746 + ... + 12954145.

It is an arithmetic number, because the mean of its divisors is an integer number (997965598336).

Almost surely, 2^{55201406631700} is an apocalyptic number.

55201406631700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55201406631700 is an abundant number, since it is smaller than the sum of its proper divisors (88505639528684).

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

55201406631700 is a wasteful number, since it uses less digits than its factorization.

55201406631700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20531102 (or 20531095 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 55201406631700 in words is "fifty-five trillion, two hundred one billion, four hundred six million, six hundred thirty-one thousand, seven hundred".