54701561088 has 144 divisors (see below), whose sum is σ = 161936308800. Its totient is φ = 18214225920.

The previous prime is 54701561071. The next prime is 54701561093. The reversal of 54701561088 is 88016510745.

54701561088 is a `hidden beast` number, since 5 + 4 + 7 + 0 + 1 + 561 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7329903 + ... + 7337361.

It is an arithmetic number, because the mean of its divisors is an integer number (1124557700).

Almost surely, 2^54701561088 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 54701561088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80968154400).

54701561088 is an abundant number, since it is smaller than the sum of its proper divisors (107234747712).

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

54701561088 is a wasteful number, since it uses less digits than its factorization.

54701561088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8545 (or 8525 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 54701561088 in words is "fifty-four billion, seven hundred one million, five hundred sixty-one thousand, eighty-eight".