1016518688640 has 2304 divisors, whose sum is σ = 4721541027840. Its totient is φ = 206928691200.

The previous prime is 1016518688623. The next prime is 1016518688657. The reversal of 1016518688640 is 468868156101.

1016518688640 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 518 + 6 + 8 + 86 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1016518688623) and next prime (1016518688657).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3071053275 + ... + 3071053605.

It is an arithmetic number, because the mean of its divisors is an integer number (2049279960).

Almost surely, 2^{1016518688640} is an apocalyptic number.

1016518688640 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 1016518688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360770513920).

1016518688640 is an abundant number, since it is smaller than the sum of its proper divisors (3705022339200).

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

1016518688640 is a wasteful number, since it uses less digits than its factorization.

1016518688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 1016518688640 in words is "one trillion, sixteen billion, five hundred eighteen million, six hundred eighty-eight thousand, six hundred forty".