54191546640 has 960 divisors, whose sum is σ = 241316554752. Its totient is φ = 10973491200.

The previous prime is 54191546627. The next prime is 54191546641. The reversal of 54191546640 is 4664519145.

54191546640 is a `hidden beast` number, since 5 + 41 + 9 + 1 + 546 + 64 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (54191546641) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 61371639 + ... + 61372521.

Almost surely, 2^54191546640 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 54191546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120658277376).

54191546640 is an abundant number, since it is smaller than the sum of its proper divisors (187125008112).

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

54191546640 is a wasteful number, since it uses less digits than its factorization.

54191546640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 54191546640 in words is "fifty-four billion, one hundred ninety-one million, five hundred forty-six thousand, six hundred forty".