216116797260000 has 3840 divisors, whose sum is σ = 950274490023936. Its totient is φ = 41704685568000.

The previous prime is 216116797259969. The next prime is 216116797260031. The reversal of 216116797260000 is 62797611612.

It is an interprime number because it is at equal distance from previous prime (216116797259969) and next prime (216116797260031).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 969133619889 + ... + 969133620111.

Almost surely, 2^{216116797260000} is an apocalyptic number.

216116797260000 is a gapful number since it is divisible by the number (20) 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 216116797260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475137245011968).

216116797260000 is an abundant number, since it is smaller than the sum of its proper divisors (734157692763936).

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

216116797260000 is a wasteful number, since it uses less digits than its factorization.

216116797260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 216116797260000 in words is "two hundred sixteen trillion, one hundred sixteen billion, seven hundred ninety-seven million, two hundred sixty thousand".