55735395840 has 320 divisors, whose sum is σ = 206590348800. Its totient is φ = 14216159232.

The previous prime is 55735395811. The next prime is 55735395851. The reversal of 55735395840 is 4859353755.

55735395840 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 53 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1572231 + ... + 1607289.

It is an arithmetic number, because the mean of its divisors is an integer number (645594840).

Almost surely, 2^55735395840 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 55735395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103295174400).

55735395840 is an abundant number, since it is smaller than the sum of its proper divisors (150854952960).

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

55735395840 is a wasteful number, since it uses less digits than its factorization.

55735395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35114 (or 35092 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 55735395840 in words is "fifty-five billion, seven hundred thirty-five million, three hundred ninety-five thousand, eight hundred forty".