55785450240 has 432 divisors, whose sum is σ = 209120577120. Its totient is φ = 13648527360.

The previous prime is 55785450233. The next prime is 55785450271. The reversal of 55785450240 is 4205458755.

55785450240 is a `hidden beast` number, since 5 + 57 + 8 + 54 + 502 + 40 = 666.

It is a super-2 number, since 2×55785450240² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26806000 + ... + 26808080.

It is an arithmetic number, because the mean of its divisors is an integer number (484075410).

Almost surely, 2^55785450240 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 55785450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104560288560).

55785450240 is an abundant number, since it is smaller than the sum of its proper divisors (153335126880).

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

55785450240 is a wasteful number, since it uses less digits than its factorization.

55785450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 45.

The spelling of 55785450240 in words is "fifty-five billion, seven hundred eighty-five million, four hundred fifty thousand, two hundred forty".