1951216788612 has 768 divisors, whose sum is σ = 6085586124800. Its totient is φ = 482833612800.

The previous prime is 1951216788557. The next prime is 1951216788613. The reversal of 1951216788612 is 2168876121591.

It is a happy number.

It is a super-2 number, since 2×1951216788612² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1951216788613) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10780203162 + ... + 10780203342.

Almost surely, 2^{1951216788612} is an apocalyptic number.

1951216788612 is a gapful number since it is divisible by the number (12) 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 1951216788612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042793062400).

1951216788612 is an abundant number, since it is smaller than the sum of its proper divisors (4134369336188).

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

1951216788612 is a wasteful number, since it uses less digits than its factorization.

1951216788612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 57.

The spelling of 1951216788612 in words is "one trillion, nine hundred fifty-one billion, two hundred sixteen million, seven hundred eighty-eight thousand, six hundred twelve".