55338570336 has 96 divisors (see below), whose sum is σ = 166178815488. Its totient is φ = 15795486720.

The previous prime is 55338570299. The next prime is 55338570341. The reversal of 55338570336 is 63307583355.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652896 + ... + 732768.

It is an arithmetic number, because the mean of its divisors is an integer number (1731029328).

Almost surely, 2^55338570336 is an apocalyptic number.

55338570336 is a gapful number since it is divisible by the number (56) 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 55338570336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83089407744).

55338570336 is an abundant number, since it is smaller than the sum of its proper divisors (110840245152).

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

55338570336 is a wasteful number, since it uses less digits than its factorization.

55338570336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80924 (or 80916 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 48.

The spelling of 55338570336 in words is "fifty-five billion, three hundred thirty-eight million, five hundred seventy thousand, three hundred thirty-six".