1215076066416 has 480 divisors, whose sum is σ = 3736406568960. Its totient is φ = 367429472256.

The previous prime is 1215076066411. The next prime is 1215076066441. The reversal of 1215076066416 is 6146606705121.

1215076066416 is a `hidden beast` number, since 1 + 21 + 5 + 0 + 7 + 606 + 6 + 4 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215076066411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1407967201 + ... + 1407968063.

It is an arithmetic number, because the mean of its divisors is an integer number (7784180352).

Almost surely, 2^{1215076066416} is an apocalyptic number.

1215076066416 is a gapful number since it is divisible by the number (16) 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 1215076066416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868203284480).

1215076066416 is an abundant number, since it is smaller than the sum of its proper divisors (2521330502544).

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

1215076066416 is a wasteful number, since it uses less digits than its factorization.

1215076066416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1215076066416 in words is "one trillion, two hundred fifteen billion, seventy-six million, sixty-six thousand, four hundred sixteen".