55020993431040 has 3360 divisors, whose sum is σ = 255947276825856. Its totient is φ = 11226822082560.

The previous prime is 55020993431039. The next prime is 55020993431093. The reversal of 55020993431040 is 4013439902055.

55020993431040 is a `hidden beast` number, since 5 + 5 + 0 + 209 + 9 + 3 + 431 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 36852640534 + ... + 36852642026.

Almost surely, 2^{55020993431040} 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 55020993431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127973638412928).

55020993431040 is an abundant number, since it is smaller than the sum of its proper divisors (200926283394816).

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

55020993431040 is a wasteful number, since it uses less digits than its factorization.

55020993431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 55020993431040 in words is "fifty-five trillion, twenty billion, nine hundred ninety-three million, four hundred thirty-one thousand, forty".