1016249794560 has 3360 divisors, whose sum is σ = 5198521773312. Its totient is φ = 183458856960.

The previous prime is 1016249794559. The next prime is 1016249794583. The reversal of 1016249794560 is 654979426101.

1016249794560 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 2 + 4 + 9 + 79 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1016249794497 and 1016249794506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 59779399672 + ... + 59779399688.

Almost surely, 2^{1016249794560} is an apocalyptic number.

1016249794560 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 1016249794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599260886656).

1016249794560 is an abundant number, since it is smaller than the sum of its proper divisors (4182271978752).

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

1016249794560 is an equidigital number, since it uses as much as digits as its factorization.

1016249794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1016249794560 in words is "one trillion, sixteen billion, two hundred forty-nine million, seven hundred ninety-four thousand, five hundred sixty".