55106979840 has 576 divisors, whose sum is σ = 219396340800. Its totient is φ = 12651724800.

The previous prime is 55106979827. The next prime is 55106979847. The reversal of 55106979840 is 4897960155.

55106979840 is a `hidden beast` number, since 551 + 0 + 6 + 9 + 7 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (55106979847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19260010 + ... + 19262870.

It is an arithmetic number, because the mean of its divisors is an integer number (380896425).

Almost surely, 2^55106979840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55106979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109698170400).

55106979840 is an abundant number, since it is smaller than the sum of its proper divisors (164289360960).

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

55106979840 is a wasteful number, since it uses less digits than its factorization.

55106979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 55106979840 in words is "fifty-five billion, one hundred six million, nine hundred seventy-nine thousand, eight hundred forty".