1551865588560 has 640 divisors, whose sum is σ = 6518630400000. Its totient is φ = 331435266048.

The previous prime is 1551865588477. The next prime is 1551865588561. The reversal of 1551865588560 is 658855681551.

It is a happy number.

1551865588560 is a `hidden beast` number, since 1 + 5 + 5 + 1 + 8 + 65 + 5 + 8 + 8 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1551865588561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20934441 + ... + 21008439.

It is an arithmetic number, because the mean of its divisors is an integer number (10185360000).

Almost surely, 2^{1551865588560} is an apocalyptic number.

1551865588560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1551865588560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259315200000).

1551865588560 is an abundant number, since it is smaller than the sum of its proper divisors (4966764811440).

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

1551865588560 is a wasteful number, since it uses less digits than its factorization.

1551865588560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74120 (or 74108 counting only the distinct ones).

The product of its (nonzero) digits is 57600000, while the sum is 63.

The spelling of 1551865588560 in words is "one trillion, five hundred fifty-one billion, eight hundred sixty-five million, five hundred eighty-eight thousand, five hundred sixty".