55949133841920 has 960 divisors, whose sum is σ = 215452073041920. Its totient is φ = 13304748441600.

The previous prime is 55949133841889. The next prime is 55949133841927. The reversal of 55949133841920 is 2914833194955.

55949133841920 is a `hidden beast` number, since 5 + 5 + 9 + 491 + 33 + 84 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×55949133841920² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55949133841927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2864622555 + ... + 2864642085.

It is an arithmetic number, because the mean of its divisors is an integer number (224429242752).

Almost surely, 2^{55949133841920} 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 55949133841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107726036520960).

55949133841920 is an abundant number, since it is smaller than the sum of its proper divisors (159502939200000).

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

55949133841920 is a wasteful number, since it uses less digits than its factorization.

55949133841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19787 (or 19768 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 55949133841920 in words is "fifty-five trillion, nine hundred forty-nine billion, one hundred thirty-three million, eight hundred forty-one thousand, nine hundred twenty".