54807661440 has 768 divisors, whose sum is σ = 235624896000. Its totient is φ = 11454234624.

The previous prime is 54807661369. The next prime is 54807661453. The reversal of 54807661440 is 4416670845.

54807661440 is a `hidden beast` number, since 5 + 4 + 80 + 76 + 61 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22215087 + ... + 22217553.

It is an arithmetic number, because the mean of its divisors is an integer number (306803250).

Almost surely, 2^54807661440 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 54807661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117812448000).

54807661440 is an abundant number, since it is smaller than the sum of its proper divisors (180817234560).

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

54807661440 is a wasteful number, since it uses less digits than its factorization.

54807661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 54807661440 in words is "fifty-four billion, eight hundred seven million, six hundred sixty-one thousand, four hundred forty".