54141682760 has 128 divisors (see below), whose sum is σ = 135412041600. Its totient is φ = 19316060160.

The previous prime is 54141682741. The next prime is 54141682781. The reversal of 54141682760 is 6728614145.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15392522 + ... + 15396038.

It is an arithmetic number, because the mean of its divisors is an integer number (1057906575).

Almost surely, 2^54141682760 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 54141682760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67706020800).

54141682760 is an abundant number, since it is smaller than the sum of its proper divisors (81270358840).

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

54141682760 is a wasteful number, since it uses less digits than its factorization.

54141682760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 54141682760 in words is "fifty-four billion, one hundred forty-one million, six hundred eighty-two thousand, seven hundred sixty".