55414311680 has 720 divisors, whose sum is σ = 177940583520. Its totient is φ = 16387080192.

The previous prime is 55414311649. The next prime is 55414311683. The reversal of 55414311680 is 8611341455.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (55414311683) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 759100124 + ... + 759100196.

Almost surely, 2^55414311680 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 55414311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88970291760).

55414311680 is an abundant number, since it is smaller than the sum of its proper divisors (122526271840).

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

55414311680 is an equidigital number, since it uses as much as digits as its factorization.

55414311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 55414311680 in words is "fifty-five billion, four hundred fourteen million, three hundred eleven thousand, six hundred eighty".