1002281749560 has 1920 divisors, whose sum is σ = 4407909580800. Its totient is φ = 199717539840.

The previous prime is 1002281749543. The next prime is 1002281749663. The reversal of 1002281749560 is 659471822001.

1002281749560 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 81 + 7 + 4 + 9 + 560 = 666.

1002281749560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 479 ways as a sum of consecutive naturals, for example, 7891982217 + ... + 7891982343.

It is an arithmetic number, because the mean of its divisors is an integer number (2295786240).

Almost surely, 2^{1002281749560} is an apocalyptic number.

1002281749560 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 1002281749560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203954790400).

1002281749560 is an abundant number, since it is smaller than the sum of its proper divisors (3405627831240).

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

1002281749560 is a wasteful number, since it uses less digits than its factorization.

1002281749560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1002281749560 in words is "one trillion, two billion, two hundred eighty-one million, seven hundred forty-nine thousand, five hundred sixty".