54110960640 has 264 divisors, whose sum is σ = 204539809968. Its totient is φ = 13117685760.

The previous prime is 54110960639. The next prime is 54110960641. The reversal of 54110960640 is 4606901145.

54110960640 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 0 + 9 + 6 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (54110960639) and next prime (54110960641).

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×54110960640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54110960595 and 54110960604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54110960641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453504 + ... + 560256.

Almost surely, 2^54110960640 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 54110960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102269904984).

54110960640 is an abundant number, since it is smaller than the sum of its proper divisors (150428849328).

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

54110960640 is a wasteful number, since it uses less digits than its factorization.

54110960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106795 (or 106774 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 54110960640 in words is "fifty-four billion, one hundred ten million, nine hundred sixty thousand, six hundred forty".