55452767541760 has 640 divisors, whose sum is σ = 145707359846400. Its totient is φ = 20177597890560.

The previous prime is 55452767541757. The next prime is 55452767541767. The reversal of 55452767541760 is 6714576725455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 55452767541692 and 55452767541701.

It is not an unprimeable number, because it can be changed into a prime (55452767541767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29078534727 + ... + 29078536633.

It is an arithmetic number, because the mean of its divisors is an integer number (227667749760).

Almost surely, 2^{55452767541760} 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 55452767541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72853679923200).

55452767541760 is an abundant number, since it is smaller than the sum of its proper divisors (90254592304640).

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

55452767541760 is a wasteful number, since it uses less digits than its factorization.

55452767541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 246960000, while the sum is 64.

The spelling of 55452767541760 in words is "fifty-five trillion, four hundred fifty-two billion, seven hundred sixty-seven million, five hundred forty-one thousand, seven hundred sixty".