54661100010 has 128 divisors (see below), whose sum is σ = 146278379520. Its totient is φ = 12961248000.

The previous prime is 54661099979. The next prime is 54661100017. The reversal of 54661100010 is 1000116645.

54661100010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×54661100010³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (54661100017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2756511 + ... + 2776269.

It is an arithmetic number, because the mean of its divisors is an integer number (1142799840).

Almost surely, 2^54661100010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54661100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73139189760).

54661100010 is an abundant number, since it is smaller than the sum of its proper divisors (91617279510).

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

54661100010 is a wasteful number, since it uses less digits than its factorization.

54661100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19964.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 54661100010 its reverse (1000116645), we get a palindrome (55661216655).

The spelling of 54661100010 in words is "fifty-four billion, six hundred sixty-one million, one hundred thousand, ten".