1023364552560 has 640 divisors, whose sum is σ = 3960127488000. Its totient is φ = 213333626880.

The previous prime is 1023364552547. The next prime is 1023364552571. The reversal of 1023364552560 is 652554633201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196911882 + ... + 196917078.

It is an arithmetic number, because the mean of its divisors is an integer number (6187699200).

Almost surely, 2^{1023364552560} is an apocalyptic number.

1023364552560 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 1023364552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980063744000).

1023364552560 is an abundant number, since it is smaller than the sum of its proper divisors (2936762935440).

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

1023364552560 is a wasteful number, since it uses less digits than its factorization.

1023364552560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 1023364552560 in words is "one trillion, twenty-three billion, three hundred sixty-four million, five hundred fifty-two thousand, five hundred sixty".