55291753440 has 1728 divisors, whose sum is σ = 260002649088. Its totient is φ = 10839121920.

The previous prime is 55291753421. The next prime is 55291753459. The reversal of 55291753440 is 4435719255.

55291753440 is a `hidden beast` number, since 5 + 52 + 91 + 75 + 3 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (55291753421) and next prime (55291753459).

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 287 ways as a sum of consecutive naturals, for example, 757421244 + ... + 757421316.

It is an arithmetic number, because the mean of its divisors is an integer number (150464496).

Almost surely, 2^55291753440 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 55291753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130001324544).

55291753440 is an abundant number, since it is smaller than the sum of its proper divisors (204710895648).

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

55291753440 is a wasteful number, since it uses less digits than its factorization.

55291753440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 55291753440 in words is "fifty-five billion, two hundred ninety-one million, seven hundred fifty-three thousand, four hundred forty".