54769987440 has 240 divisors, whose sum is σ = 210853933056. Its totient is φ = 12480652800.

The previous prime is 54769987399. The next prime is 54769987471. The reversal of 54769987440 is 4478996745.

54769987440 is a `hidden beast` number, since 5 + 47 + 69 + 98 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 1651825 + ... + 1684655.

Almost surely, 2^54769987440 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 54769987440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105426966528).

54769987440 is an abundant number, since it is smaller than the sum of its proper divisors (156083945616).

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

54769987440 is a wasteful number, since it uses less digits than its factorization.

54769987440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33188 (or 33179 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 54769987440 in words is "fifty-four billion, seven hundred sixty-nine million, nine hundred eighty-seven thousand, four hundred forty".